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Finding the Fourth Proportional to 832.32, 1,248.72 and 588.96

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Solution

The fourth proportional to 832.32, 1,248.72 and 588.96 is: 883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.32 : 1,248.72 = 588.96 : x
  2. Step 2: Convert to fraction form
    832.32/1,248.72 = 588.96/x
  3. Step 3: Cross multiply
    832.32x = 1,248.72 × 588.96
  4. Step 4: Simplify right side
    832.32x = 735,446.13
  5. Step 5: Solve for x
    x = 735,446.13/832.32
  6. Step 6: Final answer
    x = 883.61

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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.