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Finding the Fourth Proportional to 767.07, 1,058.22 and 471.78

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Solution

The fourth proportional to 767.07, 1,058.22 and 471.78 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.07 : 1,058.22 = 471.78 : x
  2. Step 2: Convert to fraction form
    767.07/1,058.22 = 471.78/x
  3. Step 3: Cross multiply
    767.07x = 1,058.22 × 471.78
  4. Step 4: Simplify right side
    767.07x = 499,247.03
  5. Step 5: Solve for x
    x = 499,247.03/767.07
  6. Step 6: Final answer
    x = 650.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.