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Finding the Fourth Proportional to 1,162.69, 1,604.52 and 631.58

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Solution

The fourth proportional to 1,162.69, 1,604.52 and 631.58 is: 871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.69 : 1,604.52 = 631.58 : x
  2. Step 2: Convert to fraction form
    1,162.69/1,604.52 = 631.58/x
  3. Step 3: Cross multiply
    1,162.69x = 1,604.52 × 631.58
  4. Step 4: Simplify right side
    1,162.69x = 1,013,382.74
  5. Step 5: Solve for x
    x = 1,013,382.74/1,162.69
  6. Step 6: Final answer
    x = 871.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.