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Finding the Fourth Proportional to 1,225.31, 1,691.49 and 783.82

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Solution

The fourth proportional to 1,225.31, 1,691.49 and 783.82 is: 1,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.31 : 1,691.49 = 783.82 : x
  2. Step 2: Convert to fraction form
    1,225.31/1,691.49 = 783.82/x
  3. Step 3: Cross multiply
    1,225.31x = 1,691.49 × 783.82
  4. Step 4: Simplify right side
    1,225.31x = 1,325,815.23
  5. Step 5: Solve for x
    x = 1,325,815.23/1,225.31
  6. Step 6: Final answer
    x = 1,082.02

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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.