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Finding the Fourth Proportional to 1,162.41, 1,604.13 and 631.31

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Solution

The fourth proportional to 1,162.41, 1,604.13 and 631.31 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.41 : 1,604.13 = 631.31 : x
  2. Step 2: Convert to fraction form
    1,162.41/1,604.13 = 631.31/x
  3. Step 3: Cross multiply
    1,162.41x = 1,604.13 × 631.31
  4. Step 4: Simplify right side
    1,162.41x = 1,012,695.29
  5. Step 5: Solve for x
    x = 1,012,695.29/1,162.41
  6. Step 6: Final answer
    x = 871.20

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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.