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Finding the Fourth Proportional to 746.11, 1,023.77 and 738.82

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Solution

The fourth proportional to 746.11, 1,023.77 and 738.82 is: 1,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.11 : 1,023.77 = 738.82 : x
  2. Step 2: Convert to fraction form
    746.11/1,023.77 = 738.82/x
  3. Step 3: Cross multiply
    746.11x = 1,023.77 × 738.82
  4. Step 4: Simplify right side
    746.11x = 756,381.75
  5. Step 5: Solve for x
    x = 756,381.75/746.11
  6. Step 6: Final answer
    x = 1,013.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.