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Finding the Fourth Proportional to 601.93, 826 and 546.49

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Solution

The fourth proportional to 601.93, 826 and 546.49 is: 749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.93 : 826 = 546.49 : x
  2. Step 2: Convert to fraction form
    601.93/826 = 546.49/x
  3. Step 3: Cross multiply
    601.93x = 826 × 546.49
  4. Step 4: Simplify right side
    601.93x = 451,400.74
  5. Step 5: Solve for x
    x = 451,400.74/601.93
  6. Step 6: Final answer
    x = 749.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.