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Finding the Fourth Proportional to 971.12, 1,456.07 and 509.07

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Solution

The fourth proportional to 971.12, 1,456.07 and 509.07 is: 763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.12 : 1,456.07 = 509.07 : x
  2. Step 2: Convert to fraction form
    971.12/1,456.07 = 509.07/x
  3. Step 3: Cross multiply
    971.12x = 1,456.07 × 509.07
  4. Step 4: Simplify right side
    971.12x = 741,234.27
  5. Step 5: Solve for x
    x = 741,234.27/971.12
  6. Step 6: Final answer
    x = 763.28

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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.