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Finding the Fourth Proportional to 767.71, 1,059 and 472.92

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Solution

The fourth proportional to 767.71, 1,059 and 472.92 is: 652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.71 : 1,059 = 472.92 : x
  2. Step 2: Convert to fraction form
    767.71/1,059 = 472.92/x
  3. Step 3: Cross multiply
    767.71x = 1,059 × 472.92
  4. Step 4: Simplify right side
    767.71x = 500,822.28
  5. Step 5: Solve for x
    x = 500,822.28/767.71
  6. Step 6: Final answer
    x = 652.36

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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.