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Finding the Fourth Proportional to 1,100.17, 1,518.22 and 602.80

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Solution

The fourth proportional to 1,100.17, 1,518.22 and 602.80 is: 831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.17 : 1,518.22 = 602.80 : x
  2. Step 2: Convert to fraction form
    1,100.17/1,518.22 = 602.80/x
  3. Step 3: Cross multiply
    1,100.17x = 1,518.22 × 602.80
  4. Step 4: Simplify right side
    1,100.17x = 915,180.00
  5. Step 5: Solve for x
    x = 915,180.00/1,100.17
  6. Step 6: Final answer
    x = 831.85

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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.