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Finding the Fourth Proportional to 749.26, 1,031.90 and 733.11

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Solution

The fourth proportional to 749.26, 1,031.90 and 733.11 is: 1,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.26 : 1,031.90 = 733.11 : x
  2. Step 2: Convert to fraction form
    749.26/1,031.90 = 733.11/x
  3. Step 3: Cross multiply
    749.26x = 1,031.90 × 733.11
  4. Step 4: Simplify right side
    749.26x = 756,496.21
  5. Step 5: Solve for x
    x = 756,496.21/749.26
  6. Step 6: Final answer
    x = 1,009.66

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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.