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Finding the Fourth Proportional to 733.92, 1,099.64 and 588.08

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Solution

The fourth proportional to 733.92, 1,099.64 and 588.08 is: 881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.92 : 1,099.64 = 588.08 : x
  2. Step 2: Convert to fraction form
    733.92/1,099.64 = 588.08/x
  3. Step 3: Cross multiply
    733.92x = 1,099.64 × 588.08
  4. Step 4: Simplify right side
    733.92x = 646,676.29
  5. Step 5: Solve for x
    x = 646,676.29/733.92
  6. Step 6: Final answer
    x = 881.13

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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.