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Finding the Fourth Proportional to 1,012.97, 1,519.53 and 319.66

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Solution

The fourth proportional to 1,012.97, 1,519.53 and 319.66 is: 479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.97 : 1,519.53 = 319.66 : x
  2. Step 2: Convert to fraction form
    1,012.97/1,519.53 = 319.66/x
  3. Step 3: Cross multiply
    1,012.97x = 1,519.53 × 319.66
  4. Step 4: Simplify right side
    1,012.97x = 485,727.96
  5. Step 5: Solve for x
    x = 485,727.96/1,012.97
  6. Step 6: Final answer
    x = 479.51

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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.