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Finding the Fourth Proportional to 1,248.68, 1,873.31 and 382.98

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Solution

The fourth proportional to 1,248.68, 1,873.31 and 382.98 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.68 : 1,873.31 = 382.98 : x
  2. Step 2: Convert to fraction form
    1,248.68/1,873.31 = 382.98/x
  3. Step 3: Cross multiply
    1,248.68x = 1,873.31 × 382.98
  4. Step 4: Simplify right side
    1,248.68x = 717,440.26
  5. Step 5: Solve for x
    x = 717,440.26/1,248.68
  6. Step 6: Final answer
    x = 574.56

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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.