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Finding the Fourth Proportional to 835.65, 1,251.05 and 765.18

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Solution

The fourth proportional to 835.65, 1,251.05 and 765.18 is: 1,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.65 : 1,251.05 = 765.18 : x
  2. Step 2: Convert to fraction form
    835.65/1,251.05 = 765.18/x
  3. Step 3: Cross multiply
    835.65x = 1,251.05 × 765.18
  4. Step 4: Simplify right side
    835.65x = 957,274.61
  5. Step 5: Solve for x
    x = 957,274.61/835.65
  6. Step 6: Final answer
    x = 1,145.54

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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.