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Finding the Fourth Proportional to 1,382.16, 2,073.21 and 457.72

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Solution

The fourth proportional to 1,382.16, 2,073.21 and 457.72 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.16 : 2,073.21 = 457.72 : x
  2. Step 2: Convert to fraction form
    1,382.16/2,073.21 = 457.72/x
  3. Step 3: Cross multiply
    1,382.16x = 2,073.21 × 457.72
  4. Step 4: Simplify right side
    1,382.16x = 948,949.68
  5. Step 5: Solve for x
    x = 948,949.68/1,382.16
  6. Step 6: Final answer
    x = 686.57

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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.