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Finding the Fourth Proportional to 772.12, 1,157.34 and 386.44

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Solution

The fourth proportional to 772.12, 1,157.34 and 386.44 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.12 : 1,157.34 = 386.44 : x
  2. Step 2: Convert to fraction form
    772.12/1,157.34 = 386.44/x
  3. Step 3: Cross multiply
    772.12x = 1,157.34 × 386.44
  4. Step 4: Simplify right side
    772.12x = 447,242.47
  5. Step 5: Solve for x
    x = 447,242.47/772.12
  6. Step 6: Final answer
    x = 579.24

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.