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Finding the Fourth Proportional to 3,105.65, 4,658.53 and 765.66

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Solution

The fourth proportional to 3,105.65, 4,658.53 and 765.66 is: 1,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.65 : 4,658.53 = 765.66 : x
  2. Step 2: Convert to fraction form
    3,105.65/4,658.53 = 765.66/x
  3. Step 3: Cross multiply
    3,105.65x = 4,658.53 × 765.66
  4. Step 4: Simplify right side
    3,105.65x = 3,566,850.08
  5. Step 5: Solve for x
    x = 3,566,850.08/3,105.65
  6. Step 6: Final answer
    x = 1,148.50

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1.5x scale

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.