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Finding the Fourth Proportional to 733.85, 1,013.26 and 577.25

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Solution

The fourth proportional to 733.85, 1,013.26 and 577.25 is: 797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.85 : 1,013.26 = 577.25 : x
  2. Step 2: Convert to fraction form
    733.85/1,013.26 = 577.25/x
  3. Step 3: Cross multiply
    733.85x = 1,013.26 × 577.25
  4. Step 4: Simplify right side
    733.85x = 584,899.27
  5. Step 5: Solve for x
    x = 584,899.27/733.85
  6. Step 6: Final answer
    x = 797.03

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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.