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Finding the Fourth Proportional to 1,123.49, 1,554.84 and 1,096.16

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Solution

The fourth proportional to 1,123.49, 1,554.84 and 1,096.16 is: 1,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.49 : 1,554.84 = 1,096.16 : x
  2. Step 2: Convert to fraction form
    1,123.49/1,554.84 = 1,096.16/x
  3. Step 3: Cross multiply
    1,123.49x = 1,554.84 × 1,096.16
  4. Step 4: Simplify right side
    1,123.49x = 1,704,345.64
  5. Step 5: Solve for x
    x = 1,704,345.64/1,123.49
  6. Step 6: Final answer
    x = 1,517.02

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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.