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Finding the Fourth Proportional to 1,012.65, 1,518.84 and 319.29

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Solution

The fourth proportional to 1,012.65, 1,518.84 and 319.29 is: 478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.65 : 1,518.84 = 319.29 : x
  2. Step 2: Convert to fraction form
    1,012.65/1,518.84 = 319.29/x
  3. Step 3: Cross multiply
    1,012.65x = 1,518.84 × 319.29
  4. Step 4: Simplify right side
    1,012.65x = 484,950.42
  5. Step 5: Solve for x
    x = 484,950.42/1,012.65
  6. Step 6: Final answer
    x = 478.89

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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.