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Finding the Fourth Proportional to 1,399.84, 2,097.76 and 749.12

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Solution

The fourth proportional to 1,399.84, 2,097.76 and 749.12 is: 1,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.84 : 2,097.76 = 749.12 : x
  2. Step 2: Convert to fraction form
    1,399.84/2,097.76 = 749.12/x
  3. Step 3: Cross multiply
    1,399.84x = 2,097.76 × 749.12
  4. Step 4: Simplify right side
    1,399.84x = 1,571,473.97
  5. Step 5: Solve for x
    x = 1,571,473.97/1,399.84
  6. Step 6: Final answer
    x = 1,122.61

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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.