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Finding the Fourth Proportional to 686.04, 1,029.26 and 275.41

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Solution

The fourth proportional to 686.04, 1,029.26 and 275.41 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.04 : 1,029.26 = 275.41 : x
  2. Step 2: Convert to fraction form
    686.04/1,029.26 = 275.41/x
  3. Step 3: Cross multiply
    686.04x = 1,029.26 × 275.41
  4. Step 4: Simplify right side
    686.04x = 283,468.50
  5. Step 5: Solve for x
    x = 283,468.50/686.04
  6. Step 6: Final answer
    x = 413.20

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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.