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Finding the Fourth Proportional to 671.22, 926.74 and 601.06

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Solution

The fourth proportional to 671.22, 926.74 and 601.06 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 926.74 = 601.06 : x
  2. Step 2: Convert to fraction form
    671.22/926.74 = 601.06/x
  3. Step 3: Cross multiply
    671.22x = 926.74 × 601.06
  4. Step 4: Simplify right side
    671.22x = 557,026.34
  5. Step 5: Solve for x
    x = 557,026.34/671.22
  6. Step 6: Final answer
    x = 829.87

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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.