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Finding the Fourth Proportional to 971.40, 1,456.46 and 394.12

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Solution

The fourth proportional to 971.40, 1,456.46 and 394.12 is: 590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.40 : 1,456.46 = 394.12 : x
  2. Step 2: Convert to fraction form
    971.40/1,456.46 = 394.12/x
  3. Step 3: Cross multiply
    971.40x = 1,456.46 × 394.12
  4. Step 4: Simplify right side
    971.40x = 574,020.02
  5. Step 5: Solve for x
    x = 574,020.02/971.40
  6. Step 6: Final answer
    x = 590.92

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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.