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Finding the Fourth Proportional to 728.24, 1,091.64 and 598.64

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Solution

The fourth proportional to 728.24, 1,091.64 and 598.64 is: 897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,091.64 = 598.64 : x
  2. Step 2: Convert to fraction form
    728.24/1,091.64 = 598.64/x
  3. Step 3: Cross multiply
    728.24x = 1,091.64 × 598.64
  4. Step 4: Simplify right side
    728.24x = 653,499.37
  5. Step 5: Solve for x
    x = 653,499.37/728.24
  6. Step 6: Final answer
    x = 897.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.