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Finding the Fourth Proportional to 1,123.81, 1,683.42 and 916.31

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Solution

The fourth proportional to 1,123.81, 1,683.42 and 916.31 is: 1,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.81 : 1,683.42 = 916.31 : x
  2. Step 2: Convert to fraction form
    1,123.81/1,683.42 = 916.31/x
  3. Step 3: Cross multiply
    1,123.81x = 1,683.42 × 916.31
  4. Step 4: Simplify right side
    1,123.81x = 1,542,535.35
  5. Step 5: Solve for x
    x = 1,542,535.35/1,123.81
  6. Step 6: Final answer
    x = 1,372.60

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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.