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Finding the Fourth Proportional to 767.30, 1,059.27 and 472.74

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Solution

The fourth proportional to 767.30, 1,059.27 and 472.74 is: 652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,059.27 = 472.74 : x
  2. Step 2: Convert to fraction form
    767.30/1,059.27 = 472.74/x
  3. Step 3: Cross multiply
    767.30x = 1,059.27 × 472.74
  4. Step 4: Simplify right side
    767.30x = 500,759.30
  5. Step 5: Solve for x
    x = 500,759.30/767.30
  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.