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Finding the Fourth Proportional to 709.78, 1,063.82 and 462.64

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Solution

The fourth proportional to 709.78, 1,063.82 and 462.64 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,063.82 = 462.64 : x
  2. Step 2: Convert to fraction form
    709.78/1,063.82 = 462.64/x
  3. Step 3: Cross multiply
    709.78x = 1,063.82 × 462.64
  4. Step 4: Simplify right side
    709.78x = 492,165.68
  5. Step 5: Solve for x
    x = 492,165.68/709.78
  6. Step 6: Final answer
    x = 693.41

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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.