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Finding the Fourth Proportional to 1,038.92, 1,558.38 and 966.02

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Solution

The fourth proportional to 1,038.92, 1,558.38 and 966.02 is: 1,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.92 : 1,558.38 = 966.02 : x
  2. Step 2: Convert to fraction form
    1,038.92/1,558.38 = 966.02/x
  3. Step 3: Cross multiply
    1,038.92x = 1,558.38 × 966.02
  4. Step 4: Simplify right side
    1,038.92x = 1,505,426.25
  5. Step 5: Solve for x
    x = 1,505,426.25/1,038.92
  6. Step 6: Final answer
    x = 1,449.03

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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.