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Finding the Fourth Proportional to 911.24, 1,256.54 and 596.78

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Solution

The fourth proportional to 911.24, 1,256.54 and 596.78 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.24 : 1,256.54 = 596.78 : x
  2. Step 2: Convert to fraction form
    911.24/1,256.54 = 596.78/x
  3. Step 3: Cross multiply
    911.24x = 1,256.54 × 596.78
  4. Step 4: Simplify right side
    911.24x = 749,868.67
  5. Step 5: Solve for x
    x = 749,868.67/911.24
  6. Step 6: Final answer
    x = 822.91

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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.