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Finding the Fourth Proportional to 1,163.84, 1,605.52 and 721.98

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Solution

The fourth proportional to 1,163.84, 1,605.52 and 721.98 is: 995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,605.52 = 721.98 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,605.52 = 721.98/x
  3. Step 3: Cross multiply
    1,163.84x = 1,605.52 × 721.98
  4. Step 4: Simplify right side
    1,163.84x = 1,159,154.23
  5. Step 5: Solve for x
    x = 1,159,154.23/1,163.84
  6. Step 6: Final answer
    x = 995.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.