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Finding the Fourth Proportional to 1,013.17, 1,519.76 and 319.82

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Solution

The fourth proportional to 1,013.17, 1,519.76 and 319.82 is: 479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.17 : 1,519.76 = 319.82 : x
  2. Step 2: Convert to fraction form
    1,013.17/1,519.76 = 319.82/x
  3. Step 3: Cross multiply
    1,013.17x = 1,519.76 × 319.82
  4. Step 4: Simplify right side
    1,013.17x = 486,049.64
  5. Step 5: Solve for x
    x = 486,049.64/1,013.17
  6. Step 6: Final answer
    x = 479.73

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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.