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Finding the Fourth Proportional to 811.69, 1,120.05 and 457.60

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Solution

The fourth proportional to 811.69, 1,120.05 and 457.60 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,120.05 = 457.60 : x
  2. Step 2: Convert to fraction form
    811.69/1,120.05 = 457.60/x
  3. Step 3: Cross multiply
    811.69x = 1,120.05 × 457.60
  4. Step 4: Simplify right side
    811.69x = 512,534.88
  5. Step 5: Solve for x
    x = 512,534.88/811.69
  6. Step 6: Final answer
    x = 631.44

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.