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Finding the Fourth Proportional to 1,012.96, 1,519.44 and 282.59

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Solution

The fourth proportional to 1,012.96, 1,519.44 and 282.59 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.96 : 1,519.44 = 282.59 : x
  2. Step 2: Convert to fraction form
    1,012.96/1,519.44 = 282.59/x
  3. Step 3: Cross multiply
    1,012.96x = 1,519.44 × 282.59
  4. Step 4: Simplify right side
    1,012.96x = 429,377.18
  5. Step 5: Solve for x
    x = 429,377.18/1,012.96
  6. Step 6: Final answer
    x = 423.89

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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.