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Finding the Fourth Proportional to 872.24, 1,203.96 and 557.60

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Solution

The fourth proportional to 872.24, 1,203.96 and 557.60 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,203.96 = 557.60 : x
  2. Step 2: Convert to fraction form
    872.24/1,203.96 = 557.60/x
  3. Step 3: Cross multiply
    872.24x = 1,203.96 × 557.60
  4. Step 4: Simplify right side
    872.24x = 671,328.10
  5. Step 5: Solve for x
    x = 671,328.10/872.24
  6. Step 6: Final answer
    x = 769.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.