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Finding the Fourth Proportional to 731.88, 1,099.44 and 527.76

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Solution

The fourth proportional to 731.88, 1,099.44 and 527.76 is: 792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,099.44 = 527.76 : x
  2. Step 2: Convert to fraction form
    731.88/1,099.44 = 527.76/x
  3. Step 3: Cross multiply
    731.88x = 1,099.44 × 527.76
  4. Step 4: Simplify right side
    731.88x = 580,240.45
  5. Step 5: Solve for x
    x = 580,240.45/731.88
  6. Step 6: Final answer
    x = 792.81

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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.