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Finding the Fourth Proportional to 1,012.95, 1,519.29 and 282.47

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Solution

The fourth proportional to 1,012.95, 1,519.29 and 282.47 is: 423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.95 : 1,519.29 = 282.47 : x
  2. Step 2: Convert to fraction form
    1,012.95/1,519.29 = 282.47/x
  3. Step 3: Cross multiply
    1,012.95x = 1,519.29 × 282.47
  4. Step 4: Simplify right side
    1,012.95x = 429,146.25
  5. Step 5: Solve for x
    x = 429,146.25/1,012.95
  6. Step 6: Final answer
    x = 423.66

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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.