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Finding the Fourth Proportional to 1,012.68, 1,519.02 and 363.06

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Solution

The fourth proportional to 1,012.68, 1,519.02 and 363.06 is: 544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.68 : 1,519.02 = 363.06 : x
  2. Step 2: Convert to fraction form
    1,012.68/1,519.02 = 363.06/x
  3. Step 3: Cross multiply
    1,012.68x = 1,519.02 × 363.06
  4. Step 4: Simplify right side
    1,012.68x = 551,495.40
  5. Step 5: Solve for x
    x = 551,495.40/1,012.68
  6. Step 6: Final answer
    x = 544.59

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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.