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Finding the Fourth Proportional to 706.44, 1,057.98 and 462.26

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Solution

The fourth proportional to 706.44, 1,057.98 and 462.26 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.44 : 1,057.98 = 462.26 : x
  2. Step 2: Convert to fraction form
    706.44/1,057.98 = 462.26/x
  3. Step 3: Cross multiply
    706.44x = 1,057.98 × 462.26
  4. Step 4: Simplify right side
    706.44x = 489,061.83
  5. Step 5: Solve for x
    x = 489,061.83/706.44
  6. Step 6: Final answer
    x = 692.29

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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.