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Finding the Fourth Proportional to 1,098.14, 1,515.36 and 600.68

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Solution

The fourth proportional to 1,098.14, 1,515.36 and 600.68 is: 828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.14 : 1,515.36 = 600.68 : x
  2. Step 2: Convert to fraction form
    1,098.14/1,515.36 = 600.68/x
  3. Step 3: Cross multiply
    1,098.14x = 1,515.36 × 600.68
  4. Step 4: Simplify right side
    1,098.14x = 910,246.44
  5. Step 5: Solve for x
    x = 910,246.44/1,098.14
  6. Step 6: Final answer
    x = 828.90

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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.