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Finding the Fourth Proportional to 1,162.67, 1,604.48 and 631.56

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Solution

The fourth proportional to 1,162.67, 1,604.48 and 631.56 is: 871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.67 : 1,604.48 = 631.56 : x
  2. Step 2: Convert to fraction form
    1,162.67/1,604.48 = 631.56/x
  3. Step 3: Cross multiply
    1,162.67x = 1,604.48 × 631.56
  4. Step 4: Simplify right side
    1,162.67x = 1,013,322.23
  5. Step 5: Solve for x
    x = 1,013,322.23/1,162.67
  6. Step 6: Final answer
    x = 871.55

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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.