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Finding the Fourth Proportional to 686.71, 1,029.75 and 378.46

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Solution

The fourth proportional to 686.71, 1,029.75 and 378.46 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.71 : 1,029.75 = 378.46 : x
  2. Step 2: Convert to fraction form
    686.71/1,029.75 = 378.46/x
  3. Step 3: Cross multiply
    686.71x = 1,029.75 × 378.46
  4. Step 4: Simplify right side
    686.71x = 389,719.19
  5. Step 5: Solve for x
    x = 389,719.19/686.71
  6. Step 6: Final answer
    x = 567.52

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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.