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Finding the Fourth Proportional to 1,431.64, 1,975.62 and 842.21

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Solution

The fourth proportional to 1,431.64, 1,975.62 and 842.21 is: 1,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.64 : 1,975.62 = 842.21 : x
  2. Step 2: Convert to fraction form
    1,431.64/1,975.62 = 842.21/x
  3. Step 3: Cross multiply
    1,431.64x = 1,975.62 × 842.21
  4. Step 4: Simplify right side
    1,431.64x = 1,663,891.86
  5. Step 5: Solve for x
    x = 1,663,891.86/1,431.64
  6. Step 6: Final answer
    x = 1,162.23

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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.