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Finding the Fourth Proportional to 1,012.95, 1,519.46 and 282.53

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Solution

The fourth proportional to 1,012.95, 1,519.46 and 282.53 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.95 : 1,519.46 = 282.53 : x
  2. Step 2: Convert to fraction form
    1,012.95/1,519.46 = 282.53/x
  3. Step 3: Cross multiply
    1,012.95x = 1,519.46 × 282.53
  4. Step 4: Simplify right side
    1,012.95x = 429,293.03
  5. Step 5: Solve for x
    x = 429,293.03/1,012.95
  6. Step 6: Final answer
    x = 423.80

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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.