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Finding the Fourth Proportional to 757.59, 1,134.63 and 410.10

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Solution

The fourth proportional to 757.59, 1,134.63 and 410.10 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.59 : 1,134.63 = 410.10 : x
  2. Step 2: Convert to fraction form
    757.59/1,134.63 = 410.10/x
  3. Step 3: Cross multiply
    757.59x = 1,134.63 × 410.10
  4. Step 4: Simplify right side
    757.59x = 465,311.76
  5. Step 5: Solve for x
    x = 465,311.76/757.59
  6. Step 6: Final answer
    x = 614.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.