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Finding the Fourth Proportional to 872.72, 1,308.36 and 598.13

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Solution

The fourth proportional to 872.72, 1,308.36 and 598.13 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.72 : 1,308.36 = 598.13 : x
  2. Step 2: Convert to fraction form
    872.72/1,308.36 = 598.13/x
  3. Step 3: Cross multiply
    872.72x = 1,308.36 × 598.13
  4. Step 4: Simplify right side
    872.72x = 782,569.37
  5. Step 5: Solve for x
    x = 782,569.37/872.72
  6. Step 6: Final answer
    x = 896.70

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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.