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Finding the Fourth Proportional to 906.93, 1,252.16 and 596.61

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Solution

The fourth proportional to 906.93, 1,252.16 and 596.61 is: 823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.93 : 1,252.16 = 596.61 : x
  2. Step 2: Convert to fraction form
    906.93/1,252.16 = 596.61/x
  3. Step 3: Cross multiply
    906.93x = 1,252.16 × 596.61
  4. Step 4: Simplify right side
    906.93x = 747,048.19
  5. Step 5: Solve for x
    x = 747,048.19/906.93
  6. Step 6: Final answer
    x = 823.71

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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.