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Finding the Fourth Proportional to 1,012.62, 1,518.96 and 362.88

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Solution

The fourth proportional to 1,012.62, 1,518.96 and 362.88 is: 544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,518.96 = 362.88 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,518.96 = 362.88/x
  3. Step 3: Cross multiply
    1,012.62x = 1,518.96 × 362.88
  4. Step 4: Simplify right side
    1,012.62x = 551,200.20
  5. Step 5: Solve for x
    x = 551,200.20/1,012.62
  6. Step 6: Final answer
    x = 544.33

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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.