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Finding the Fourth Proportional to 908.65, 1,253.97 and 515.69

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Solution

The fourth proportional to 908.65, 1,253.97 and 515.69 is: 711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.65 : 1,253.97 = 515.69 : x
  2. Step 2: Convert to fraction form
    908.65/1,253.97 = 515.69/x
  3. Step 3: Cross multiply
    908.65x = 1,253.97 × 515.69
  4. Step 4: Simplify right side
    908.65x = 646,659.79
  5. Step 5: Solve for x
    x = 646,659.79/908.65
  6. Step 6: Final answer
    x = 711.67

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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.