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Finding the Fourth Proportional to 709.37, 1,064.34 and 319.10

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Solution

The fourth proportional to 709.37, 1,064.34 and 319.10 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.37 : 1,064.34 = 319.10 : x
  2. Step 2: Convert to fraction form
    709.37/1,064.34 = 319.10/x
  3. Step 3: Cross multiply
    709.37x = 1,064.34 × 319.10
  4. Step 4: Simplify right side
    709.37x = 339,630.89
  5. Step 5: Solve for x
    x = 339,630.89/709.37
  6. Step 6: Final answer
    x = 478.78

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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.