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Finding the Fourth Proportional to 1,163.73, 1,746.29 and 514.53

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Solution

The fourth proportional to 1,163.73, 1,746.29 and 514.53 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.73 : 1,746.29 = 514.53 : x
  2. Step 2: Convert to fraction form
    1,163.73/1,746.29 = 514.53/x
  3. Step 3: Cross multiply
    1,163.73x = 1,746.29 × 514.53
  4. Step 4: Simplify right side
    1,163.73x = 898,516.02
  5. Step 5: Solve for x
    x = 898,516.02/1,163.73
  6. Step 6: Final answer
    x = 772.10

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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.