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Finding the Fourth Proportional to 859.61, 1,187.06 and 624.92

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Solution

The fourth proportional to 859.61, 1,187.06 and 624.92 is: 862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.61 : 1,187.06 = 624.92 : x
  2. Step 2: Convert to fraction form
    859.61/1,187.06 = 624.92/x
  3. Step 3: Cross multiply
    859.61x = 1,187.06 × 624.92
  4. Step 4: Simplify right side
    859.61x = 741,808.48
  5. Step 5: Solve for x
    x = 741,808.48/859.61
  6. Step 6: Final answer
    x = 862.96

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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.