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Finding the Fourth Proportional to 767.47, 1,059.13 and 472.57

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Solution

The fourth proportional to 767.47, 1,059.13 and 472.57 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.47 : 1,059.13 = 472.57 : x
  2. Step 2: Convert to fraction form
    767.47/1,059.13 = 472.57/x
  3. Step 3: Cross multiply
    767.47x = 1,059.13 × 472.57
  4. Step 4: Simplify right side
    767.47x = 500,513.06
  5. Step 5: Solve for x
    x = 500,513.06/767.47
  6. Step 6: Final answer
    x = 652.16

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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.