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Finding the Fourth Proportional to 872.59, 1,203.32 and 557.30

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Solution

The fourth proportional to 872.59, 1,203.32 and 557.30 is: 768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.59 : 1,203.32 = 557.30 : x
  2. Step 2: Convert to fraction form
    872.59/1,203.32 = 557.30/x
  3. Step 3: Cross multiply
    872.59x = 1,203.32 × 557.30
  4. Step 4: Simplify right side
    872.59x = 670,610.24
  5. Step 5: Solve for x
    x = 670,610.24/872.59
  6. Step 6: Final answer
    x = 768.53

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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.