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Finding the Fourth Proportional to 709.74, 1,063.86 and 466.44

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Solution

The fourth proportional to 709.74, 1,063.86 and 466.44 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,063.86 = 466.44 : x
  2. Step 2: Convert to fraction form
    709.74/1,063.86 = 466.44/x
  3. Step 3: Cross multiply
    709.74x = 1,063.86 × 466.44
  4. Step 4: Simplify right side
    709.74x = 496,226.86
  5. Step 5: Solve for x
    x = 496,226.86/709.74
  6. Step 6: Final answer
    x = 699.17

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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.