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Finding the Fourth Proportional to 1,028.13, 1,534.29 and 918.78

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Solution

The fourth proportional to 1,028.13, 1,534.29 and 918.78 is: 1,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.13 : 1,534.29 = 918.78 : x
  2. Step 2: Convert to fraction form
    1,028.13/1,534.29 = 918.78/x
  3. Step 3: Cross multiply
    1,028.13x = 1,534.29 × 918.78
  4. Step 4: Simplify right side
    1,028.13x = 1,409,674.97
  5. Step 5: Solve for x
    x = 1,409,674.97/1,028.13
  6. Step 6: Final answer
    x = 1,371.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.