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Finding the Fourth Proportional to 1,382.23, 2,073.63 and 457.86

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Solution

The fourth proportional to 1,382.23, 2,073.63 and 457.86 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.23 : 2,073.63 = 457.86 : x
  2. Step 2: Convert to fraction form
    1,382.23/2,073.63 = 457.86/x
  3. Step 3: Cross multiply
    1,382.23x = 2,073.63 × 457.86
  4. Step 4: Simplify right side
    1,382.23x = 949,435.28
  5. Step 5: Solve for x
    x = 949,435.28/1,382.23
  6. Step 6: Final answer
    x = 686.89

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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.