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Finding the Fourth Proportional to 686.13, 1,029.32 and 275.29

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Solution

The fourth proportional to 686.13, 1,029.32 and 275.29 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.13 : 1,029.32 = 275.29 : x
  2. Step 2: Convert to fraction form
    686.13/1,029.32 = 275.29/x
  3. Step 3: Cross multiply
    686.13x = 1,029.32 × 275.29
  4. Step 4: Simplify right side
    686.13x = 283,365.82
  5. Step 5: Solve for x
    x = 283,365.82/686.13
  6. Step 6: Final answer
    x = 412.99

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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.