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Finding the Fourth Proportional to 1,158.39, 1,737.41 and 542.04

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Solution

The fourth proportional to 1,158.39, 1,737.41 and 542.04 is: 812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.39 : 1,737.41 = 542.04 : x
  2. Step 2: Convert to fraction form
    1,158.39/1,737.41 = 542.04/x
  3. Step 3: Cross multiply
    1,158.39x = 1,737.41 × 542.04
  4. Step 4: Simplify right side
    1,158.39x = 941,743.01
  5. Step 5: Solve for x
    x = 941,743.01/1,158.39
  6. Step 6: Final answer
    x = 812.98

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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.