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Finding the Fourth Proportional to 1,286.82, 1,776.96 and 971.52

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Solution

The fourth proportional to 1,286.82, 1,776.96 and 971.52 is: 1,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.82 : 1,776.96 = 971.52 : x
  2. Step 2: Convert to fraction form
    1,286.82/1,776.96 = 971.52/x
  3. Step 3: Cross multiply
    1,286.82x = 1,776.96 × 971.52
  4. Step 4: Simplify right side
    1,286.82x = 1,726,352.18
  5. Step 5: Solve for x
    x = 1,726,352.18/1,286.82
  6. Step 6: Final answer
    x = 1,341.56

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Why These Related Problems?

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