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Finding the Fourth Proportional to 537.76, 800.69 and 515.62

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Solution

The fourth proportional to 537.76, 800.69 and 515.62 is: 767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 800.69 = 515.62 : x
  2. Step 2: Convert to fraction form
    537.76/800.69 = 515.62/x
  3. Step 3: Cross multiply
    537.76x = 800.69 × 515.62
  4. Step 4: Simplify right side
    537.76x = 412,851.78
  5. Step 5: Solve for x
    x = 412,851.78/537.76
  6. Step 6: Final answer
    x = 767.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.