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Finding the Fourth Proportional to 1,159.15, 1,737.90 and 542.52

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Solution

The fourth proportional to 1,159.15, 1,737.90 and 542.52 is: 813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.15 : 1,737.90 = 542.52 : x
  2. Step 2: Convert to fraction form
    1,159.15/1,737.90 = 542.52/x
  3. Step 3: Cross multiply
    1,159.15x = 1,737.90 × 542.52
  4. Step 4: Simplify right side
    1,159.15x = 942,849.41
  5. Step 5: Solve for x
    x = 942,849.41/1,159.15
  6. Step 6: Final answer
    x = 813.40

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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.