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Finding the Fourth Proportional to 767.01, 1,058.46 and 472.27

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Solution

The fourth proportional to 767.01, 1,058.46 and 472.27 is: 651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.01 : 1,058.46 = 472.27 : x
  2. Step 2: Convert to fraction form
    767.01/1,058.46 = 472.27/x
  3. Step 3: Cross multiply
    767.01x = 1,058.46 × 472.27
  4. Step 4: Simplify right side
    767.01x = 499,878.90
  5. Step 5: Solve for x
    x = 499,878.90/767.01
  6. Step 6: Final answer
    x = 651.72

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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.