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Finding the Fourth Proportional to 686.17, 1,029.48 and 275.19

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Solution

The fourth proportional to 686.17, 1,029.48 and 275.19 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 1,029.48 = 275.19 : x
  2. Step 2: Convert to fraction form
    686.17/1,029.48 = 275.19/x
  3. Step 3: Cross multiply
    686.17x = 1,029.48 × 275.19
  4. Step 4: Simplify right side
    686.17x = 283,302.60
  5. Step 5: Solve for x
    x = 283,302.60/686.17
  6. Step 6: Final answer
    x = 412.88

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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.