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Finding the Fourth Proportional to 767.50, 1,059.41 and 472.79

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Solution

The fourth proportional to 767.50, 1,059.41 and 472.79 is: 652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.50 : 1,059.41 = 472.79 : x
  2. Step 2: Convert to fraction form
    767.50/1,059.41 = 472.79/x
  3. Step 3: Cross multiply
    767.50x = 1,059.41 × 472.79
  4. Step 4: Simplify right side
    767.50x = 500,882.28
  5. Step 5: Solve for x
    x = 500,882.28/767.50
  6. Step 6: Final answer
    x = 652.62

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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.