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Finding the Fourth Proportional to 834.68, 1,253.28 and 511.40

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Solution

The fourth proportional to 834.68, 1,253.28 and 511.40 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,253.28 = 511.40 : x
  2. Step 2: Convert to fraction form
    834.68/1,253.28 = 511.40/x
  3. Step 3: Cross multiply
    834.68x = 1,253.28 × 511.40
  4. Step 4: Simplify right side
    834.68x = 640,927.39
  5. Step 5: Solve for x
    x = 640,927.39/834.68
  6. Step 6: Final answer
    x = 767.87

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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.