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Finding the Fourth Proportional to 1,037.86, 1,432.36 and 572.14

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Solution

The fourth proportional to 1,037.86, 1,432.36 and 572.14 is: 789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.86 : 1,432.36 = 572.14 : x
  2. Step 2: Convert to fraction form
    1,037.86/1,432.36 = 572.14/x
  3. Step 3: Cross multiply
    1,037.86x = 1,432.36 × 572.14
  4. Step 4: Simplify right side
    1,037.86x = 819,510.45
  5. Step 5: Solve for x
    x = 819,510.45/1,037.86
  6. Step 6: Final answer
    x = 789.62

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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.