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Finding the Fourth Proportional to 1,012.53, 1,518.66 and 282

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Solution

The fourth proportional to 1,012.53, 1,518.66 and 282 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.53 : 1,518.66 = 282 : x
  2. Step 2: Convert to fraction form
    1,012.53/1,518.66 = 282/x
  3. Step 3: Cross multiply
    1,012.53x = 1,518.66 × 282
  4. Step 4: Simplify right side
    1,012.53x = 428,262.12
  5. Step 5: Solve for x
    x = 428,262.12/1,012.53
  6. Step 6: Final answer
    x = 422.96

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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.