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Finding the Fourth Proportional to 1,342.62, 1,851.98 and 811.22

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Solution

The fourth proportional to 1,342.62, 1,851.98 and 811.22 is: 1,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.62 : 1,851.98 = 811.22 : x
  2. Step 2: Convert to fraction form
    1,342.62/1,851.98 = 811.22/x
  3. Step 3: Cross multiply
    1,342.62x = 1,851.98 × 811.22
  4. Step 4: Simplify right side
    1,342.62x = 1,502,349.90
  5. Step 5: Solve for x
    x = 1,502,349.90/1,342.62
  6. Step 6: Final answer
    x = 1,118.97

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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.