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Finding the Fourth Proportional to 1,100.14, 1,518.16 and 602.78

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Solution

The fourth proportional to 1,100.14, 1,518.16 and 602.78 is: 831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.14 : 1,518.16 = 602.78 : x
  2. Step 2: Convert to fraction form
    1,100.14/1,518.16 = 602.78/x
  3. Step 3: Cross multiply
    1,100.14x = 1,518.16 × 602.78
  4. Step 4: Simplify right side
    1,100.14x = 915,116.48
  5. Step 5: Solve for x
    x = 915,116.48/1,100.14
  6. Step 6: Final answer
    x = 831.82

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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.