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Finding the Fourth Proportional to 685.33, 1,026.98 and 424.61

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Solution

The fourth proportional to 685.33, 1,026.98 and 424.61 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.33 : 1,026.98 = 424.61 : x
  2. Step 2: Convert to fraction form
    685.33/1,026.98 = 424.61/x
  3. Step 3: Cross multiply
    685.33x = 1,026.98 × 424.61
  4. Step 4: Simplify right side
    685.33x = 436,064.16
  5. Step 5: Solve for x
    x = 436,064.16/685.33
  6. Step 6: Final answer
    x = 636.29

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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.