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Finding the Fourth Proportional to 872.58, 1,204.17 and 474.24

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Solution

The fourth proportional to 872.58, 1,204.17 and 474.24 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.58 : 1,204.17 = 474.24 : x
  2. Step 2: Convert to fraction form
    872.58/1,204.17 = 474.24/x
  3. Step 3: Cross multiply
    872.58x = 1,204.17 × 474.24
  4. Step 4: Simplify right side
    872.58x = 571,068.32
  5. Step 5: Solve for x
    x = 571,068.32/872.58
  6. Step 6: Final answer
    x = 654.46

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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.