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Finding the Fourth Proportional to 766.50, 1,149.91 and 310.50

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Solution

The fourth proportional to 766.50, 1,149.91 and 310.50 is: 465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 1,149.91 = 310.50 : x
  2. Step 2: Convert to fraction form
    766.50/1,149.91 = 310.50/x
  3. Step 3: Cross multiply
    766.50x = 1,149.91 × 310.50
  4. Step 4: Simplify right side
    766.50x = 357,047.06
  5. Step 5: Solve for x
    x = 357,047.06/766.50
  6. Step 6: Final answer
    x = 465.81

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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.