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Finding the Fourth Proportional to 1,382.49, 2,073.78 and 458.10

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Solution

The fourth proportional to 1,382.49, 2,073.78 and 458.10 is: 687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.49 : 2,073.78 = 458.10 : x
  2. Step 2: Convert to fraction form
    1,382.49/2,073.78 = 458.10/x
  3. Step 3: Cross multiply
    1,382.49x = 2,073.78 × 458.10
  4. Step 4: Simplify right side
    1,382.49x = 949,998.62
  5. Step 5: Solve for x
    x = 949,998.62/1,382.49
  6. Step 6: Final answer
    x = 687.16

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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.