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Finding the Fourth Proportional to 1,012.66, 1,519.07 and 282.24

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Solution

The fourth proportional to 1,012.66, 1,519.07 and 282.24 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.66 : 1,519.07 = 282.24 : x
  2. Step 2: Convert to fraction form
    1,012.66/1,519.07 = 282.24/x
  3. Step 3: Cross multiply
    1,012.66x = 1,519.07 × 282.24
  4. Step 4: Simplify right side
    1,012.66x = 428,742.32
  5. Step 5: Solve for x
    x = 428,742.32/1,012.66
  6. Step 6: Final answer
    x = 423.38

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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.