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Finding the Fourth Proportional to 832.04, 1,248.24 and 254.96

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Solution

The fourth proportional to 832.04, 1,248.24 and 254.96 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.04 : 1,248.24 = 254.96 : x
  2. Step 2: Convert to fraction form
    832.04/1,248.24 = 254.96/x
  3. Step 3: Cross multiply
    832.04x = 1,248.24 × 254.96
  4. Step 4: Simplify right side
    832.04x = 318,251.27
  5. Step 5: Solve for x
    x = 318,251.27/832.04
  6. Step 6: Final answer
    x = 382.50

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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.