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Finding the Fourth Proportional to 704.71, 1,057.07 and 319.69

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Solution

The fourth proportional to 704.71, 1,057.07 and 319.69 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.71 : 1,057.07 = 319.69 : x
  2. Step 2: Convert to fraction form
    704.71/1,057.07 = 319.69/x
  3. Step 3: Cross multiply
    704.71x = 1,057.07 × 319.69
  4. Step 4: Simplify right side
    704.71x = 337,930.47
  5. Step 5: Solve for x
    x = 337,930.47/704.71
  6. Step 6: Final answer
    x = 479.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.