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Finding the Fourth Proportional to 1,026.72, 1,538.06 and 966.78

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Solution

The fourth proportional to 1,026.72, 1,538.06 and 966.78 is: 1,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.72 : 1,538.06 = 966.78 : x
  2. Step 2: Convert to fraction form
    1,026.72/1,538.06 = 966.78/x
  3. Step 3: Cross multiply
    1,026.72x = 1,538.06 × 966.78
  4. Step 4: Simplify right side
    1,026.72x = 1,486,960.81
  5. Step 5: Solve for x
    x = 1,486,960.81/1,026.72
  6. Step 6: Final answer
    x = 1,448.26

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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.