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Finding the Fourth Proportional to 1,697.19, 2,545.65 and 542.85

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Solution

The fourth proportional to 1,697.19, 2,545.65 and 542.85 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.19 : 2,545.65 = 542.85 : x
  2. Step 2: Convert to fraction form
    1,697.19/2,545.65 = 542.85/x
  3. Step 3: Cross multiply
    1,697.19x = 2,545.65 × 542.85
  4. Step 4: Simplify right side
    1,697.19x = 1,381,906.10
  5. Step 5: Solve for x
    x = 1,381,906.10/1,697.19
  6. Step 6: Final answer
    x = 814.23

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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.