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Finding the Fourth Proportional to 1,158.94, 1,737.41 and 428.14

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Solution

The fourth proportional to 1,158.94, 1,737.41 and 428.14 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.94 : 1,737.41 = 428.14 : x
  2. Step 2: Convert to fraction form
    1,158.94/1,737.41 = 428.14/x
  3. Step 3: Cross multiply
    1,158.94x = 1,737.41 × 428.14
  4. Step 4: Simplify right side
    1,158.94x = 743,854.72
  5. Step 5: Solve for x
    x = 743,854.72/1,158.94
  6. Step 6: Final answer
    x = 641.84

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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.