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Finding the Fourth Proportional to 823.34, 1,233.91 and 686.65

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Solution

The fourth proportional to 823.34, 1,233.91 and 686.65 is: 1,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,233.91 = 686.65 : x
  2. Step 2: Convert to fraction form
    823.34/1,233.91 = 686.65/x
  3. Step 3: Cross multiply
    823.34x = 1,233.91 × 686.65
  4. Step 4: Simplify right side
    823.34x = 847,254.70
  5. Step 5: Solve for x
    x = 847,254.70/823.34
  6. Step 6: Final answer
    x = 1,029.05

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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.