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Finding the Fourth Proportional to 1,099.54, 1,517.34 and 602.20

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Solution

The fourth proportional to 1,099.54, 1,517.34 and 602.20 is: 831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.54 : 1,517.34 = 602.20 : x
  2. Step 2: Convert to fraction form
    1,099.54/1,517.34 = 602.20/x
  3. Step 3: Cross multiply
    1,099.54x = 1,517.34 × 602.20
  4. Step 4: Simplify right side
    1,099.54x = 913,742.15
  5. Step 5: Solve for x
    x = 913,742.15/1,099.54
  6. Step 6: Final answer
    x = 831.02

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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.