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Finding the Fourth Proportional to 1,163.14, 1,605.10 and 632.02

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Solution

The fourth proportional to 1,163.14, 1,605.10 and 632.02 is: 872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.14 : 1,605.10 = 632.02 : x
  2. Step 2: Convert to fraction form
    1,163.14/1,605.10 = 632.02/x
  3. Step 3: Cross multiply
    1,163.14x = 1,605.10 × 632.02
  4. Step 4: Simplify right side
    1,163.14x = 1,014,455.30
  5. Step 5: Solve for x
    x = 1,014,455.30/1,163.14
  6. Step 6: Final answer
    x = 872.17

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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.