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Finding the Fourth Proportional to 746.74, 1,120.38 and 715.69

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Solution

The fourth proportional to 746.74, 1,120.38 and 715.69 is: 1,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.74 : 1,120.38 = 715.69 : x
  2. Step 2: Convert to fraction form
    746.74/1,120.38 = 715.69/x
  3. Step 3: Cross multiply
    746.74x = 1,120.38 × 715.69
  4. Step 4: Simplify right side
    746.74x = 801,844.76
  5. Step 5: Solve for x
    x = 801,844.76/746.74
  6. Step 6: Final answer
    x = 1,073.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.