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Finding the Fourth Proportional to 1,248.79, 1,869.54 and 758.54

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Solution

The fourth proportional to 1,248.79, 1,869.54 and 758.54 is: 1,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.79 : 1,869.54 = 758.54 : x
  2. Step 2: Convert to fraction form
    1,248.79/1,869.54 = 758.54/x
  3. Step 3: Cross multiply
    1,248.79x = 1,869.54 × 758.54
  4. Step 4: Simplify right side
    1,248.79x = 1,418,120.87
  5. Step 5: Solve for x
    x = 1,418,120.87/1,248.79
  6. Step 6: Final answer
    x = 1,135.60

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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.