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Finding the Fourth Proportional to 908.67, 1,254.09 and 515.70

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Solution

The fourth proportional to 908.67, 1,254.09 and 515.70 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.67 : 1,254.09 = 515.70 : x
  2. Step 2: Convert to fraction form
    908.67/1,254.09 = 515.70/x
  3. Step 3: Cross multiply
    908.67x = 1,254.09 × 515.70
  4. Step 4: Simplify right side
    908.67x = 646,734.21
  5. Step 5: Solve for x
    x = 646,734.21/908.67
  6. Step 6: Final answer
    x = 711.74

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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.