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Finding the Fourth Proportional to 872.16, 1,203.20 and 557.52

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Solution

The fourth proportional to 872.16, 1,203.20 and 557.52 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.16 : 1,203.20 = 557.52 : x
  2. Step 2: Convert to fraction form
    872.16/1,203.20 = 557.52/x
  3. Step 3: Cross multiply
    872.16x = 1,203.20 × 557.52
  4. Step 4: Simplify right side
    872.16x = 670,808.06
  5. Step 5: Solve for x
    x = 670,808.06/872.16
  6. Step 6: Final answer
    x = 769.13

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Why These Related Problems?

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