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Finding the Fourth Proportional to 823.70, 1,234.20 and 702.20

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Solution

The fourth proportional to 823.70, 1,234.20 and 702.20 is: 1,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.70 : 1,234.20 = 702.20 : x
  2. Step 2: Convert to fraction form
    823.70/1,234.20 = 702.20/x
  3. Step 3: Cross multiply
    823.70x = 1,234.20 × 702.20
  4. Step 4: Simplify right side
    823.70x = 866,655.24
  5. Step 5: Solve for x
    x = 866,655.24/823.70
  6. Step 6: Final answer
    x = 1,052.15

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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.