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Finding the Fourth Proportional to 911.03, 1,256.58 and 596.49

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Solution

The fourth proportional to 911.03, 1,256.58 and 596.49 is: 822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.03 : 1,256.58 = 596.49 : x
  2. Step 2: Convert to fraction form
    911.03/1,256.58 = 596.49/x
  3. Step 3: Cross multiply
    911.03x = 1,256.58 × 596.49
  4. Step 4: Simplify right side
    911.03x = 749,537.40
  5. Step 5: Solve for x
    x = 749,537.40/911.03
  6. Step 6: Final answer
    x = 822.74

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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.