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Finding the Fourth Proportional to 1,163.84, 1,745.78 and 298.13

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Solution

The fourth proportional to 1,163.84, 1,745.78 and 298.13 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,745.78 = 298.13 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,745.78 = 298.13/x
  3. Step 3: Cross multiply
    1,163.84x = 1,745.78 × 298.13
  4. Step 4: Simplify right side
    1,163.84x = 520,459.17
  5. Step 5: Solve for x
    x = 520,459.17/1,163.84
  6. Step 6: Final answer
    x = 447.19

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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.