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Finding the Fourth Proportional to 1,987.26, 2,980.91 and 526.56

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Solution

The fourth proportional to 1,987.26, 2,980.91 and 526.56 is: 789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.26 : 2,980.91 = 526.56 : x
  2. Step 2: Convert to fraction form
    1,987.26/2,980.91 = 526.56/x
  3. Step 3: Cross multiply
    1,987.26x = 2,980.91 × 526.56
  4. Step 4: Simplify right side
    1,987.26x = 1,569,627.97
  5. Step 5: Solve for x
    x = 1,569,627.97/1,987.26
  6. Step 6: Final answer
    x = 789.85

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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.