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Finding the Fourth Proportional to 1,297.79, 1,944.86 and 749.22

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Solution

The fourth proportional to 1,297.79, 1,944.86 and 749.22 is: 1,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.79 : 1,944.86 = 749.22 : x
  2. Step 2: Convert to fraction form
    1,297.79/1,944.86 = 749.22/x
  3. Step 3: Cross multiply
    1,297.79x = 1,944.86 × 749.22
  4. Step 4: Simplify right side
    1,297.79x = 1,457,121.18
  5. Step 5: Solve for x
    x = 1,457,121.18/1,297.79
  6. Step 6: Final answer
    x = 1,122.77

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Why These Related Problems?

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