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Finding the Fourth Proportional to 767.08, 1,151.16 and 523.84

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Solution

The fourth proportional to 767.08, 1,151.16 and 523.84 is: 786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.08 : 1,151.16 = 523.84 : x
  2. Step 2: Convert to fraction form
    767.08/1,151.16 = 523.84/x
  3. Step 3: Cross multiply
    767.08x = 1,151.16 × 523.84
  4. Step 4: Simplify right side
    767.08x = 603,023.65
  5. Step 5: Solve for x
    x = 603,023.65/767.08
  6. Step 6: Final answer
    x = 786.13

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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.