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Finding the Fourth Proportional to 1,098.28, 1,515.61 and 600.94

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Solution

The fourth proportional to 1,098.28, 1,515.61 and 600.94 is: 829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.28 : 1,515.61 = 600.94 : x
  2. Step 2: Convert to fraction form
    1,098.28/1,515.61 = 600.94/x
  3. Step 3: Cross multiply
    1,098.28x = 1,515.61 × 600.94
  4. Step 4: Simplify right side
    1,098.28x = 910,790.67
  5. Step 5: Solve for x
    x = 910,790.67/1,098.28
  6. Step 6: Final answer
    x = 829.29

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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.