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Finding the Fourth Proportional to 772.02, 1,157.94 and 259.02

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Solution

The fourth proportional to 772.02, 1,157.94 and 259.02 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,157.94 = 259.02 : x
  2. Step 2: Convert to fraction form
    772.02/1,157.94 = 259.02/x
  3. Step 3: Cross multiply
    772.02x = 1,157.94 × 259.02
  4. Step 4: Simplify right side
    772.02x = 299,929.62
  5. Step 5: Solve for x
    x = 299,929.62/772.02
  6. Step 6: Final answer
    x = 388.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.