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Finding the Fourth Proportional to 859.92, 1,187.10 and 659.10

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Solution

The fourth proportional to 859.92, 1,187.10 and 659.10 is: 909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,187.10 = 659.10 : x
  2. Step 2: Convert to fraction form
    859.92/1,187.10 = 659.10/x
  3. Step 3: Cross multiply
    859.92x = 1,187.10 × 659.10
  4. Step 4: Simplify right side
    859.92x = 782,417.61
  5. Step 5: Solve for x
    x = 782,417.61/859.92
  6. Step 6: Final answer
    x = 909.87

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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.