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Finding the Fourth Proportional to 1,155.71, 1,594.86 and 631.73

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Solution

The fourth proportional to 1,155.71, 1,594.86 and 631.73 is: 871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.71 : 1,594.86 = 631.73 : x
  2. Step 2: Convert to fraction form
    1,155.71/1,594.86 = 631.73/x
  3. Step 3: Cross multiply
    1,155.71x = 1,594.86 × 631.73
  4. Step 4: Simplify right side
    1,155.71x = 1,007,520.91
  5. Step 5: Solve for x
    x = 1,007,520.91/1,155.71
  6. Step 6: Final answer
    x = 871.78

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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.