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Finding the Fourth Proportional to 1,494.59, 2,243.70 and 878.58

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Solution

The fourth proportional to 1,494.59, 2,243.70 and 878.58 is: 1,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.59 : 2,243.70 = 878.58 : x
  2. Step 2: Convert to fraction form
    1,494.59/2,243.70 = 878.58/x
  3. Step 3: Cross multiply
    1,494.59x = 2,243.70 × 878.58
  4. Step 4: Simplify right side
    1,494.59x = 1,971,269.95
  5. Step 5: Solve for x
    x = 1,971,269.95/1,494.59
  6. Step 6: Final answer
    x = 1,318.94

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Why These Related Problems?

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