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Finding the Fourth Proportional to 767.30, 1,059.10 and 472.46

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Solution

The fourth proportional to 767.30, 1,059.10 and 472.46 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,059.10 = 472.46 : x
  2. Step 2: Convert to fraction form
    767.30/1,059.10 = 472.46/x
  3. Step 3: Cross multiply
    767.30x = 1,059.10 × 472.46
  4. Step 4: Simplify right side
    767.30x = 500,382.39
  5. Step 5: Solve for x
    x = 500,382.39/767.30
  6. Step 6: Final answer
    x = 652.13

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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.