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Finding the Fourth Proportional to 1,158.83, 1,737.38 and 428.27

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Solution

The fourth proportional to 1,158.83, 1,737.38 and 428.27 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.83 : 1,737.38 = 428.27 : x
  2. Step 2: Convert to fraction form
    1,158.83/1,737.38 = 428.27/x
  3. Step 3: Cross multiply
    1,158.83x = 1,737.38 × 428.27
  4. Step 4: Simplify right side
    1,158.83x = 744,056.90
  5. Step 5: Solve for x
    x = 744,056.90/1,158.83
  6. Step 6: Final answer
    x = 642.08

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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.