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Finding the Fourth Proportional to 1,382.46, 2,073.54 and 457.74

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Solution

The fourth proportional to 1,382.46, 2,073.54 and 457.74 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.46 : 2,073.54 = 457.74 : x
  2. Step 2: Convert to fraction form
    1,382.46/2,073.54 = 457.74/x
  3. Step 3: Cross multiply
    1,382.46x = 2,073.54 × 457.74
  4. Step 4: Simplify right side
    1,382.46x = 949,142.20
  5. Step 5: Solve for x
    x = 949,142.20/1,382.46
  6. Step 6: Final answer
    x = 686.56

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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.