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Finding the Fourth Proportional to 1,218.03, 1,680.15 and 746.13

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Solution

The fourth proportional to 1,218.03, 1,680.15 and 746.13 is: 1,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.03 : 1,680.15 = 746.13 : x
  2. Step 2: Convert to fraction form
    1,218.03/1,680.15 = 746.13/x
  3. Step 3: Cross multiply
    1,218.03x = 1,680.15 × 746.13
  4. Step 4: Simplify right side
    1,218.03x = 1,253,610.32
  5. Step 5: Solve for x
    x = 1,253,610.32/1,218.03
  6. Step 6: Final answer
    x = 1,029.21

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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.