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Finding the Fourth Proportional to 686.01, 1,029.39 and 275.34

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Solution

The fourth proportional to 686.01, 1,029.39 and 275.34 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.01 : 1,029.39 = 275.34 : x
  2. Step 2: Convert to fraction form
    686.01/1,029.39 = 275.34/x
  3. Step 3: Cross multiply
    686.01x = 1,029.39 × 275.34
  4. Step 4: Simplify right side
    686.01x = 283,432.24
  5. Step 5: Solve for x
    x = 283,432.24/686.01
  6. Step 6: Final answer
    x = 413.16

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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.