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Finding the Fourth Proportional to 686.02, 1,029.10 and 275.10

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Solution

The fourth proportional to 686.02, 1,029.10 and 275.10 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.02 : 1,029.10 = 275.10 : x
  2. Step 2: Convert to fraction form
    686.02/1,029.10 = 275.10/x
  3. Step 3: Cross multiply
    686.02x = 1,029.10 × 275.10
  4. Step 4: Simplify right side
    686.02x = 283,105.41
  5. Step 5: Solve for x
    x = 283,105.41/686.02
  6. Step 6: Final answer
    x = 412.68

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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.