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Finding the Fourth Proportional to 767.75, 1,151.33 and 328.72

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Solution

The fourth proportional to 767.75, 1,151.33 and 328.72 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.75 : 1,151.33 = 328.72 : x
  2. Step 2: Convert to fraction form
    767.75/1,151.33 = 328.72/x
  3. Step 3: Cross multiply
    767.75x = 1,151.33 × 328.72
  4. Step 4: Simplify right side
    767.75x = 378,465.20
  5. Step 5: Solve for x
    x = 378,465.20/767.75
  6. Step 6: Final answer
    x = 492.95

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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.