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Finding the Fourth Proportional to 971.80, 1,456.82 and 394.28

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Solution

The fourth proportional to 971.80, 1,456.82 and 394.28 is: 591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,456.82 = 394.28 : x
  2. Step 2: Convert to fraction form
    971.80/1,456.82 = 394.28/x
  3. Step 3: Cross multiply
    971.80x = 1,456.82 × 394.28
  4. Step 4: Simplify right side
    971.80x = 574,394.99
  5. Step 5: Solve for x
    x = 574,394.99/971.80
  6. Step 6: Final answer
    x = 591.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.