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Finding the Fourth Proportional to 934.26, 1,289.26 and 514.61

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Solution

The fourth proportional to 934.26, 1,289.26 and 514.61 is: 710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.26 : 1,289.26 = 514.61 : x
  2. Step 2: Convert to fraction form
    934.26/1,289.26 = 514.61/x
  3. Step 3: Cross multiply
    934.26x = 1,289.26 × 514.61
  4. Step 4: Simplify right side
    934.26x = 663,463.19
  5. Step 5: Solve for x
    x = 663,463.19/934.26
  6. Step 6: Final answer
    x = 710.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.