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Finding the Fourth Proportional to 1,098.06, 1,515.29 and 600.69

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Solution

The fourth proportional to 1,098.06, 1,515.29 and 600.69 is: 828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.06 : 1,515.29 = 600.69 : x
  2. Step 2: Convert to fraction form
    1,098.06/1,515.29 = 600.69/x
  3. Step 3: Cross multiply
    1,098.06x = 1,515.29 × 600.69
  4. Step 4: Simplify right side
    1,098.06x = 910,223.88
  5. Step 5: Solve for x
    x = 910,223.88/1,098.06
  6. Step 6: Final answer
    x = 828.94

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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.