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Finding the Fourth Proportional to 971.25, 1,456.88 and 287.25

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Solution

The fourth proportional to 971.25, 1,456.88 and 287.25 is: 430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.25 : 1,456.88 = 287.25 : x
  2. Step 2: Convert to fraction form
    971.25/1,456.88 = 287.25/x
  3. Step 3: Cross multiply
    971.25x = 1,456.88 × 287.25
  4. Step 4: Simplify right side
    971.25x = 418,487.34
  5. Step 5: Solve for x
    x = 418,487.34/971.25
  6. Step 6: Final answer
    x = 430.88

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Double scale
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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.