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Finding the Fourth Proportional to 1,163.93, 1,746.24 and 547.70

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Solution

The fourth proportional to 1,163.93, 1,746.24 and 547.70 is: 821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.93 : 1,746.24 = 547.70 : x
  2. Step 2: Convert to fraction form
    1,163.93/1,746.24 = 547.70/x
  3. Step 3: Cross multiply
    1,163.93x = 1,746.24 × 547.70
  4. Step 4: Simplify right side
    1,163.93x = 956,414.16
  5. Step 5: Solve for x
    x = 956,414.16/1,163.93
  6. Step 6: Final answer
    x = 821.71

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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.