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Finding the Fourth Proportional to 1,215.09, 1,677.48 and 743.09

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Solution

The fourth proportional to 1,215.09, 1,677.48 and 743.09 is: 1,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.09 : 1,677.48 = 743.09 : x
  2. Step 2: Convert to fraction form
    1,215.09/1,677.48 = 743.09/x
  3. Step 3: Cross multiply
    1,215.09x = 1,677.48 × 743.09
  4. Step 4: Simplify right side
    1,215.09x = 1,246,518.61
  5. Step 5: Solve for x
    x = 1,246,518.61/1,215.09
  6. Step 6: Final answer
    x = 1,025.87

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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.