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Finding the Fourth Proportional to 1,159.27, 1,737.82 and 428.65

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Solution

The fourth proportional to 1,159.27, 1,737.82 and 428.65 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.27 : 1,737.82 = 428.65 : x
  2. Step 2: Convert to fraction form
    1,159.27/1,737.82 = 428.65/x
  3. Step 3: Cross multiply
    1,159.27x = 1,737.82 × 428.65
  4. Step 4: Simplify right side
    1,159.27x = 744,916.54
  5. Step 5: Solve for x
    x = 744,916.54/1,159.27
  6. Step 6: Final answer
    x = 642.57

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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.