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Finding the Fourth Proportional to 1,272.83, 1,757.24 and 971.72

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Solution

The fourth proportional to 1,272.83, 1,757.24 and 971.72 is: 1,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.83 : 1,757.24 = 971.72 : x
  2. Step 2: Convert to fraction form
    1,272.83/1,757.24 = 971.72/x
  3. Step 3: Cross multiply
    1,272.83x = 1,757.24 × 971.72
  4. Step 4: Simplify right side
    1,272.83x = 1,707,531.61
  5. Step 5: Solve for x
    x = 1,707,531.61/1,272.83
  6. Step 6: Final answer
    x = 1,341.53

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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.