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Finding the Fourth Proportional to 686.03, 1,029.78 and 275.45

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Solution

The fourth proportional to 686.03, 1,029.78 and 275.45 is: 413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.03 : 1,029.78 = 275.45 : x
  2. Step 2: Convert to fraction form
    686.03/1,029.78 = 275.45/x
  3. Step 3: Cross multiply
    686.03x = 1,029.78 × 275.45
  4. Step 4: Simplify right side
    686.03x = 283,647.75
  5. Step 5: Solve for x
    x = 283,647.75/686.03
  6. Step 6: Final answer
    x = 413.47

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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.