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Finding the Fourth Proportional to 1,123.98, 1,548.56 and 843.78

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Solution

The fourth proportional to 1,123.98, 1,548.56 and 843.78 is: 1,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.98 : 1,548.56 = 843.78 : x
  2. Step 2: Convert to fraction form
    1,123.98/1,548.56 = 843.78/x
  3. Step 3: Cross multiply
    1,123.98x = 1,548.56 × 843.78
  4. Step 4: Simplify right side
    1,123.98x = 1,306,643.96
  5. Step 5: Solve for x
    x = 1,306,643.96/1,123.98
  6. Step 6: Final answer
    x = 1,162.52

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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.