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Finding the Fourth Proportional to 1,011.44, 1,515.13 and 462.86

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Solution

The fourth proportional to 1,011.44, 1,515.13 and 462.86 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.44 : 1,515.13 = 462.86 : x
  2. Step 2: Convert to fraction form
    1,011.44/1,515.13 = 462.86/x
  3. Step 3: Cross multiply
    1,011.44x = 1,515.13 × 462.86
  4. Step 4: Simplify right side
    1,011.44x = 701,299.85
  5. Step 5: Solve for x
    x = 701,299.85/1,011.44
  6. Step 6: Final answer
    x = 693.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.