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Finding the Fourth Proportional to 756.28, 1,042.17 and 546.10

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Solution

The fourth proportional to 756.28, 1,042.17 and 546.10 is: 752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.28 : 1,042.17 = 546.10 : x
  2. Step 2: Convert to fraction form
    756.28/1,042.17 = 546.10/x
  3. Step 3: Cross multiply
    756.28x = 1,042.17 × 546.10
  4. Step 4: Simplify right side
    756.28x = 569,129.04
  5. Step 5: Solve for x
    x = 569,129.04/756.28
  6. Step 6: Final answer
    x = 752.54

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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.