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Finding the Fourth Proportional to 1,026.56, 1,415.68 and 974.72

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Solution

The fourth proportional to 1,026.56, 1,415.68 and 974.72 is: 1,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.56 : 1,415.68 = 974.72 : x
  2. Step 2: Convert to fraction form
    1,026.56/1,415.68 = 974.72/x
  3. Step 3: Cross multiply
    1,026.56x = 1,415.68 × 974.72
  4. Step 4: Simplify right side
    1,026.56x = 1,379,891.61
  5. Step 5: Solve for x
    x = 1,379,891.61/1,026.56
  6. Step 6: Final answer
    x = 1,344.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.