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Finding the Fourth Proportional to 753.16, 1,129.17 and 521.40

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Solution

The fourth proportional to 753.16, 1,129.17 and 521.40 is: 781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.16 : 1,129.17 = 521.40 : x
  2. Step 2: Convert to fraction form
    753.16/1,129.17 = 521.40/x
  3. Step 3: Cross multiply
    753.16x = 1,129.17 × 521.40
  4. Step 4: Simplify right side
    753.16x = 588,741.50
  5. Step 5: Solve for x
    x = 588,741.50/753.16
  6. Step 6: Final answer
    x = 781.70

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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.