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Finding the Fourth Proportional to 1,123.94, 1,683.30 and 1,085.02

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Solution

The fourth proportional to 1,123.94, 1,683.30 and 1,085.02 is: 1,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.94 : 1,683.30 = 1,085.02 : x
  2. Step 2: Convert to fraction form
    1,123.94/1,683.30 = 1,085.02/x
  3. Step 3: Cross multiply
    1,123.94x = 1,683.30 × 1,085.02
  4. Step 4: Simplify right side
    1,123.94x = 1,826,414.17
  5. Step 5: Solve for x
    x = 1,826,414.17/1,123.94
  6. Step 6: Final answer
    x = 1,625.01

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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.