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Finding the Fourth Proportional to 728.32, 1,091.97 and 599.53

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Solution

The fourth proportional to 728.32, 1,091.97 and 599.53 is: 898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,091.97 = 599.53 : x
  2. Step 2: Convert to fraction form
    728.32/1,091.97 = 599.53/x
  3. Step 3: Cross multiply
    728.32x = 1,091.97 × 599.53
  4. Step 4: Simplify right side
    728.32x = 654,668.77
  5. Step 5: Solve for x
    x = 654,668.77/728.32
  6. Step 6: Final answer
    x = 898.88

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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.