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Finding the Fourth Proportional to 1,163.84, 1,605.89 and 659.66

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Solution

The fourth proportional to 1,163.84, 1,605.89 and 659.66 is: 910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,605.89 = 659.66 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,605.89 = 659.66/x
  3. Step 3: Cross multiply
    1,163.84x = 1,605.89 × 659.66
  4. Step 4: Simplify right side
    1,163.84x = 1,059,335.02
  5. Step 5: Solve for x
    x = 1,059,335.02/1,163.84
  6. Step 6: Final answer
    x = 910.21

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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.