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Finding the Fourth Proportional to 971.82, 1,340.82 and 710.28

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Solution

The fourth proportional to 971.82, 1,340.82 and 710.28 is: 979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.82 : 1,340.82 = 710.28 : x
  2. Step 2: Convert to fraction form
    971.82/1,340.82 = 710.28/x
  3. Step 3: Cross multiply
    971.82x = 1,340.82 × 710.28
  4. Step 4: Simplify right side
    971.82x = 952,357.63
  5. Step 5: Solve for x
    x = 952,357.63/971.82
  6. Step 6: Final answer
    x = 979.97

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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.