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Finding the Fourth Proportional to 875.56, 1,207.15 and 717.61

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Solution

The fourth proportional to 875.56, 1,207.15 and 717.61 is: 989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.56 : 1,207.15 = 717.61 : x
  2. Step 2: Convert to fraction form
    875.56/1,207.15 = 717.61/x
  3. Step 3: Cross multiply
    875.56x = 1,207.15 × 717.61
  4. Step 4: Simplify right side
    875.56x = 866,262.91
  5. Step 5: Solve for x
    x = 866,262.91/875.56
  6. Step 6: Final answer
    x = 989.38

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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.