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Finding the Fourth Proportional to 1,123.37, 1,685.49 and 1,032.56

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Solution

The fourth proportional to 1,123.37, 1,685.49 and 1,032.56 is: 1,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.37 : 1,685.49 = 1,032.56 : x
  2. Step 2: Convert to fraction form
    1,123.37/1,685.49 = 1,032.56/x
  3. Step 3: Cross multiply
    1,123.37x = 1,685.49 × 1,032.56
  4. Step 4: Simplify right side
    1,123.37x = 1,740,361.13
  5. Step 5: Solve for x
    x = 1,740,361.13/1,123.37
  6. Step 6: Final answer
    x = 1,549.24

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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.