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Finding the Fourth Proportional to 872.92, 1,204.66 and 474.61

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Solution

The fourth proportional to 872.92, 1,204.66 and 474.61 is: 654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.92 : 1,204.66 = 474.61 : x
  2. Step 2: Convert to fraction form
    872.92/1,204.66 = 474.61/x
  3. Step 3: Cross multiply
    872.92x = 1,204.66 × 474.61
  4. Step 4: Simplify right side
    872.92x = 571,742.82
  5. Step 5: Solve for x
    x = 571,742.82/872.92
  6. Step 6: Final answer
    x = 654.98

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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.