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Finding the Fourth Proportional to 971.67, 1,340.94 and 709.23

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Solution

The fourth proportional to 971.67, 1,340.94 and 709.23 is: 978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,340.94 = 709.23 : x
  2. Step 2: Convert to fraction form
    971.67/1,340.94 = 709.23/x
  3. Step 3: Cross multiply
    971.67x = 1,340.94 × 709.23
  4. Step 4: Simplify right side
    971.67x = 951,034.88
  5. Step 5: Solve for x
    x = 951,034.88/971.67
  6. Step 6: Final answer
    x = 978.76

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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.