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Finding the Fourth Proportional to 1,098.18, 1,515.44 and 600.82

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Solution

The fourth proportional to 1,098.18, 1,515.44 and 600.82 is: 829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.18 : 1,515.44 = 600.82 : x
  2. Step 2: Convert to fraction form
    1,098.18/1,515.44 = 600.82/x
  3. Step 3: Cross multiply
    1,098.18x = 1,515.44 × 600.82
  4. Step 4: Simplify right side
    1,098.18x = 910,506.66
  5. Step 5: Solve for x
    x = 910,506.66/1,098.18
  6. Step 6: Final answer
    x = 829.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.