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Finding the Fourth Proportional to 781.52, 1,165.10 and 719.85

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Solution

The fourth proportional to 781.52, 1,165.10 and 719.85 is: 1,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,165.10 = 719.85 : x
  2. Step 2: Convert to fraction form
    781.52/1,165.10 = 719.85/x
  3. Step 3: Cross multiply
    781.52x = 1,165.10 × 719.85
  4. Step 4: Simplify right side
    781.52x = 838,702.05
  5. Step 5: Solve for x
    x = 838,702.05/781.52
  6. Step 6: Final answer
    x = 1,073.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.