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Finding the Fourth Proportional to 1,013.04, 1,519.73 and 319.88

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Solution

The fourth proportional to 1,013.04, 1,519.73 and 319.88 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.04 : 1,519.73 = 319.88 : x
  2. Step 2: Convert to fraction form
    1,013.04/1,519.73 = 319.88/x
  3. Step 3: Cross multiply
    1,013.04x = 1,519.73 × 319.88
  4. Step 4: Simplify right side
    1,013.04x = 486,134.63
  5. Step 5: Solve for x
    x = 486,134.63/1,013.04
  6. Step 6: Final answer
    x = 479.88

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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.