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Finding the Fourth Proportional to 709.64, 1,064.48 and 196.64

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Solution

The fourth proportional to 709.64, 1,064.48 and 196.64 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 1,064.48 = 196.64 : x
  2. Step 2: Convert to fraction form
    709.64/1,064.48 = 196.64/x
  3. Step 3: Cross multiply
    709.64x = 1,064.48 × 196.64
  4. Step 4: Simplify right side
    709.64x = 209,319.35
  5. Step 5: Solve for x
    x = 209,319.35/709.64
  6. Step 6: Final answer
    x = 294.97

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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.