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Finding the Fourth Proportional to 908.12, 1,253.40 and 515.22

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Solution

The fourth proportional to 908.12, 1,253.40 and 515.22 is: 711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.12 : 1,253.40 = 515.22 : x
  2. Step 2: Convert to fraction form
    908.12/1,253.40 = 515.22/x
  3. Step 3: Cross multiply
    908.12x = 1,253.40 × 515.22
  4. Step 4: Simplify right side
    908.12x = 645,776.75
  5. Step 5: Solve for x
    x = 645,776.75/908.12
  6. Step 6: Final answer
    x = 711.11

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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.