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Finding the Fourth Proportional to 1,038.61, 1,432.96 and 727.57

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Solution

The fourth proportional to 1,038.61, 1,432.96 and 727.57 is: 1,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.61 : 1,432.96 = 727.57 : x
  2. Step 2: Convert to fraction form
    1,038.61/1,432.96 = 727.57/x
  3. Step 3: Cross multiply
    1,038.61x = 1,432.96 × 727.57
  4. Step 4: Simplify right side
    1,038.61x = 1,042,578.71
  5. Step 5: Solve for x
    x = 1,042,578.71/1,038.61
  6. Step 6: Final answer
    x = 1,003.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.