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Finding the Fourth Proportional to 1,410.18, 1,945.71 and 789.18

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Solution

The fourth proportional to 1,410.18, 1,945.71 and 789.18 is: 1,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.18 : 1,945.71 = 789.18 : x
  2. Step 2: Convert to fraction form
    1,410.18/1,945.71 = 789.18/x
  3. Step 3: Cross multiply
    1,410.18x = 1,945.71 × 789.18
  4. Step 4: Simplify right side
    1,410.18x = 1,535,515.42
  5. Step 5: Solve for x
    x = 1,535,515.42/1,410.18
  6. Step 6: Final answer
    x = 1,088.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.