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Finding the Fourth Proportional to 762.28, 1,135.39 and 746.28

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Solution

The fourth proportional to 762.28, 1,135.39 and 746.28 is: 1,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.28 : 1,135.39 = 746.28 : x
  2. Step 2: Convert to fraction form
    762.28/1,135.39 = 746.28/x
  3. Step 3: Cross multiply
    762.28x = 1,135.39 × 746.28
  4. Step 4: Simplify right side
    762.28x = 847,318.85
  5. Step 5: Solve for x
    x = 847,318.85/762.28
  6. Step 6: Final answer
    x = 1,111.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.