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Finding the Fourth Proportional to 1,158.91, 1,737.91 and 378.70

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Solution

The fourth proportional to 1,158.91, 1,737.91 and 378.70 is: 567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.91 : 1,737.91 = 378.70 : x
  2. Step 2: Convert to fraction form
    1,158.91/1,737.91 = 378.70/x
  3. Step 3: Cross multiply
    1,158.91x = 1,737.91 × 378.70
  4. Step 4: Simplify right side
    1,158.91x = 658,146.52
  5. Step 5: Solve for x
    x = 658,146.52/1,158.91
  6. Step 6: Final answer
    x = 567.90

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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.