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Finding the Fourth Proportional to 1,225.59, 1,691.49 and 783.78

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Solution

The fourth proportional to 1,225.59, 1,691.49 and 783.78 is: 1,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.59 : 1,691.49 = 783.78 : x
  2. Step 2: Convert to fraction form
    1,225.59/1,691.49 = 783.78/x
  3. Step 3: Cross multiply
    1,225.59x = 1,691.49 × 783.78
  4. Step 4: Simplify right side
    1,225.59x = 1,325,756.03
  5. Step 5: Solve for x
    x = 1,325,756.03/1,225.59
  6. Step 6: Final answer
    x = 1,081.73

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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.