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Finding the Fourth Proportional to 1,191.78, 1,788.08 and 614.25

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Solution

The fourth proportional to 1,191.78, 1,788.08 and 614.25 is: 921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.78 : 1,788.08 = 614.25 : x
  2. Step 2: Convert to fraction form
    1,191.78/1,788.08 = 614.25/x
  3. Step 3: Cross multiply
    1,191.78x = 1,788.08 × 614.25
  4. Step 4: Simplify right side
    1,191.78x = 1,098,325.07
  5. Step 5: Solve for x
    x = 1,098,325.07/1,191.78
  6. Step 6: Final answer
    x = 921.58

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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.