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Finding the Fourth Proportional to 1,163.55, 1,743.91 and 643.53

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Solution

The fourth proportional to 1,163.55, 1,743.91 and 643.53 is: 964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.55 : 1,743.91 = 643.53 : x
  2. Step 2: Convert to fraction form
    1,163.55/1,743.91 = 643.53/x
  3. Step 3: Cross multiply
    1,163.55x = 1,743.91 × 643.53
  4. Step 4: Simplify right side
    1,163.55x = 1,122,258.40
  5. Step 5: Solve for x
    x = 1,122,258.40/1,163.55
  6. Step 6: Final answer
    x = 964.51

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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.