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Finding the Fourth Proportional to 1,218.08, 1,680.26 and 798.50

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Solution

The fourth proportional to 1,218.08, 1,680.26 and 798.50 is: 1,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.08 : 1,680.26 = 798.50 : x
  2. Step 2: Convert to fraction form
    1,218.08/1,680.26 = 798.50/x
  3. Step 3: Cross multiply
    1,218.08x = 1,680.26 × 798.50
  4. Step 4: Simplify right side
    1,218.08x = 1,341,687.61
  5. Step 5: Solve for x
    x = 1,341,687.61/1,218.08
  6. Step 6: Final answer
    x = 1,101.48

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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.