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Finding the Fourth Proportional to 1,247.58, 1,867.68 and 835.74

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Solution

The fourth proportional to 1,247.58, 1,867.68 and 835.74 is: 1,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.58 : 1,867.68 = 835.74 : x
  2. Step 2: Convert to fraction form
    1,247.58/1,867.68 = 835.74/x
  3. Step 3: Cross multiply
    1,247.58x = 1,867.68 × 835.74
  4. Step 4: Simplify right side
    1,247.58x = 1,560,894.88
  5. Step 5: Solve for x
    x = 1,560,894.88/1,247.58
  6. Step 6: Final answer
    x = 1,251.14

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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.