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Finding the Fourth Proportional to 1,382.17, 2,072.83 and 457.52

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Solution

The fourth proportional to 1,382.17, 2,072.83 and 457.52 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.17 : 2,072.83 = 457.52 : x
  2. Step 2: Convert to fraction form
    1,382.17/2,072.83 = 457.52/x
  3. Step 3: Cross multiply
    1,382.17x = 2,072.83 × 457.52
  4. Step 4: Simplify right side
    1,382.17x = 948,358.89
  5. Step 5: Solve for x
    x = 948,358.89/1,382.17
  6. Step 6: Final answer
    x = 686.14

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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.