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Finding the Fourth Proportional to 1,418.16, 2,128.04 and 552.56

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Solution

The fourth proportional to 1,418.16, 2,128.04 and 552.56 is: 829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.16 : 2,128.04 = 552.56 : x
  2. Step 2: Convert to fraction form
    1,418.16/2,128.04 = 552.56/x
  3. Step 3: Cross multiply
    1,418.16x = 2,128.04 × 552.56
  4. Step 4: Simplify right side
    1,418.16x = 1,175,869.78
  5. Step 5: Solve for x
    x = 1,175,869.78/1,418.16
  6. Step 6: Final answer
    x = 829.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.