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Finding the Fourth Proportional to 686.24, 1,029.72 and 275.68

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Solution

The fourth proportional to 686.24, 1,029.72 and 275.68 is: 413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.24 : 1,029.72 = 275.68 : x
  2. Step 2: Convert to fraction form
    686.24/1,029.72 = 275.68/x
  3. Step 3: Cross multiply
    686.24x = 1,029.72 × 275.68
  4. Step 4: Simplify right side
    686.24x = 283,873.21
  5. Step 5: Solve for x
    x = 283,873.21/686.24
  6. Step 6: Final answer
    x = 413.66

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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.