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Finding the Fourth Proportional to 1,037.41, 1,557.14 and 865.18

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Solution

The fourth proportional to 1,037.41, 1,557.14 and 865.18 is: 1,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.41 : 1,557.14 = 865.18 : x
  2. Step 2: Convert to fraction form
    1,037.41/1,557.14 = 865.18/x
  3. Step 3: Cross multiply
    1,037.41x = 1,557.14 × 865.18
  4. Step 4: Simplify right side
    1,037.41x = 1,347,206.39
  5. Step 5: Solve for x
    x = 1,347,206.39/1,037.41
  6. Step 6: Final answer
    x = 1,298.62

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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.