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Finding the Fourth Proportional to 1,516.92, 2,275.42 and 542.84

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Solution

The fourth proportional to 1,516.92, 2,275.42 and 542.84 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.92 : 2,275.42 = 542.84 : x
  2. Step 2: Convert to fraction form
    1,516.92/2,275.42 = 542.84/x
  3. Step 3: Cross multiply
    1,516.92x = 2,275.42 × 542.84
  4. Step 4: Simplify right side
    1,516.92x = 1,235,188.99
  5. Step 5: Solve for x
    x = 1,235,188.99/1,516.92
  6. Step 6: Final answer
    x = 814.27

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