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Finding the Fourth Proportional to 1,205.71, 1,806.17 and 587.61

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Solution

The fourth proportional to 1,205.71, 1,806.17 and 587.61 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.71 : 1,806.17 = 587.61 : x
  2. Step 2: Convert to fraction form
    1,205.71/1,806.17 = 587.61/x
  3. Step 3: Cross multiply
    1,205.71x = 1,806.17 × 587.61
  4. Step 4: Simplify right side
    1,205.71x = 1,061,320.62
  5. Step 5: Solve for x
    x = 1,061,320.62/1,205.71
  6. Step 6: Final answer
    x = 880.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.