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Finding the Fourth Proportional to 1,349.42, 1,862.22 and 789.78

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Solution

The fourth proportional to 1,349.42, 1,862.22 and 789.78 is: 1,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.42 : 1,862.22 = 789.78 : x
  2. Step 2: Convert to fraction form
    1,349.42/1,862.22 = 789.78/x
  3. Step 3: Cross multiply
    1,349.42x = 1,862.22 × 789.78
  4. Step 4: Simplify right side
    1,349.42x = 1,470,744.11
  5. Step 5: Solve for x
    x = 1,470,744.11/1,349.42
  6. Step 6: Final answer
    x = 1,089.91

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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.