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Finding the Fourth Proportional to 767.54, 1,150.67 and 356.87

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Solution

The fourth proportional to 767.54, 1,150.67 and 356.87 is: 535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.54 : 1,150.67 = 356.87 : x
  2. Step 2: Convert to fraction form
    767.54/1,150.67 = 356.87/x
  3. Step 3: Cross multiply
    767.54x = 1,150.67 × 356.87
  4. Step 4: Simplify right side
    767.54x = 410,643.37
  5. Step 5: Solve for x
    x = 410,643.37/767.54
  6. Step 6: Final answer
    x = 535.01

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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.