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Finding the Fourth Proportional to 767.66, 1,150.74 and 357.08

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Solution

The fourth proportional to 767.66, 1,150.74 and 357.08 is: 535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.66 : 1,150.74 = 357.08 : x
  2. Step 2: Convert to fraction form
    767.66/1,150.74 = 357.08/x
  3. Step 3: Cross multiply
    767.66x = 1,150.74 × 357.08
  4. Step 4: Simplify right side
    767.66x = 410,906.24
  5. Step 5: Solve for x
    x = 410,906.24/767.66
  6. Step 6: Final answer
    x = 535.27

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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.