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Finding the Fourth Proportional to 686.53, 1,029.81 and 296.23

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Solution

The fourth proportional to 686.53, 1,029.81 and 296.23 is: 444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 1,029.81 = 296.23 : x
  2. Step 2: Convert to fraction form
    686.53/1,029.81 = 296.23/x
  3. Step 3: Cross multiply
    686.53x = 1,029.81 × 296.23
  4. Step 4: Simplify right side
    686.53x = 305,060.62
  5. Step 5: Solve for x
    x = 305,060.62/686.53
  6. Step 6: Final answer
    x = 444.35

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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.