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Finding the Fourth Proportional to 706.24, 1,058.24 and 512.96

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Solution

The fourth proportional to 706.24, 1,058.24 and 512.96 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.24 : 1,058.24 = 512.96 : x
  2. Step 2: Convert to fraction form
    706.24/1,058.24 = 512.96/x
  3. Step 3: Cross multiply
    706.24x = 1,058.24 × 512.96
  4. Step 4: Simplify right side
    706.24x = 542,834.79
  5. Step 5: Solve for x
    x = 542,834.79/706.24
  6. Step 6: Final answer
    x = 768.63

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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.