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Finding the Fourth Proportional to 709.50, 1,064.34 and 196.50

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Solution

The fourth proportional to 709.50, 1,064.34 and 196.50 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 1,064.34 = 196.50 : x
  2. Step 2: Convert to fraction form
    709.50/1,064.34 = 196.50/x
  3. Step 3: Cross multiply
    709.50x = 1,064.34 × 196.50
  4. Step 4: Simplify right side
    709.50x = 209,142.81
  5. Step 5: Solve for x
    x = 209,142.81/709.50
  6. Step 6: Final answer
    x = 294.77

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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.