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Finding the Fourth Proportional to 1,162.82, 1,604.11 and 690.51

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Solution

The fourth proportional to 1,162.82, 1,604.11 and 690.51 is: 952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.82 : 1,604.11 = 690.51 : x
  2. Step 2: Convert to fraction form
    1,162.82/1,604.11 = 690.51/x
  3. Step 3: Cross multiply
    1,162.82x = 1,604.11 × 690.51
  4. Step 4: Simplify right side
    1,162.82x = 1,107,654.00
  5. Step 5: Solve for x
    x = 1,107,654.00/1,162.82
  6. Step 6: Final answer
    x = 952.56

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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.