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Finding the Fourth Proportional to 1,987.12, 2,980.33 and 526.42

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Solution

The fourth proportional to 1,987.12, 2,980.33 and 526.42 is: 789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.12 : 2,980.33 = 526.42 : x
  2. Step 2: Convert to fraction form
    1,987.12/2,980.33 = 526.42/x
  3. Step 3: Cross multiply
    1,987.12x = 2,980.33 × 526.42
  4. Step 4: Simplify right side
    1,987.12x = 1,568,891.73
  5. Step 5: Solve for x
    x = 1,568,891.73/1,987.12
  6. Step 6: Final answer
    x = 789.53

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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.