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Finding the Fourth Proportional to 709.49, 1,063.80 and 319.41

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Solution

The fourth proportional to 709.49, 1,063.80 and 319.41 is: 478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.49 : 1,063.80 = 319.41 : x
  2. Step 2: Convert to fraction form
    709.49/1,063.80 = 319.41/x
  3. Step 3: Cross multiply
    709.49x = 1,063.80 × 319.41
  4. Step 4: Simplify right side
    709.49x = 339,788.36
  5. Step 5: Solve for x
    x = 339,788.36/709.49
  6. Step 6: Final answer
    x = 478.92

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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.