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Finding the Fourth Proportional to 872.24, 1,204.10 and 557.84

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Solution

The fourth proportional to 872.24, 1,204.10 and 557.84 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,204.10 = 557.84 : x
  2. Step 2: Convert to fraction form
    872.24/1,204.10 = 557.84/x
  3. Step 3: Cross multiply
    872.24x = 1,204.10 × 557.84
  4. Step 4: Simplify right side
    872.24x = 671,695.14
  5. Step 5: Solve for x
    x = 671,695.14/872.24
  6. Step 6: Final answer
    x = 770.08

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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.