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Finding the Fourth Proportional to 1,248.67, 1,731.48 and 1,207.16

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Solution

The fourth proportional to 1,248.67, 1,731.48 and 1,207.16 is: 1,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.67 : 1,731.48 = 1,207.16 : x
  2. Step 2: Convert to fraction form
    1,248.67/1,731.48 = 1,207.16/x
  3. Step 3: Cross multiply
    1,248.67x = 1,731.48 × 1,207.16
  4. Step 4: Simplify right side
    1,248.67x = 2,090,173.40
  5. Step 5: Solve for x
    x = 2,090,173.40/1,248.67
  6. Step 6: Final answer
    x = 1,673.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.