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Finding the Fourth Proportional to 731.64, 1,096.80 and 526.44

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Solution

The fourth proportional to 731.64, 1,096.80 and 526.44 is: 789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,096.80 = 526.44 : x
  2. Step 2: Convert to fraction form
    731.64/1,096.80 = 526.44/x
  3. Step 3: Cross multiply
    731.64x = 1,096.80 × 526.44
  4. Step 4: Simplify right side
    731.64x = 577,399.39
  5. Step 5: Solve for x
    x = 577,399.39/731.64
  6. Step 6: Final answer
    x = 789.19

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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.