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Finding the Fourth Proportional to 1,437.72, 1,984.05 and 808.23

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Solution

The fourth proportional to 1,437.72, 1,984.05 and 808.23 is: 1,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.72 : 1,984.05 = 808.23 : x
  2. Step 2: Convert to fraction form
    1,437.72/1,984.05 = 808.23/x
  3. Step 3: Cross multiply
    1,437.72x = 1,984.05 × 808.23
  4. Step 4: Simplify right side
    1,437.72x = 1,603,568.73
  5. Step 5: Solve for x
    x = 1,603,568.73/1,437.72
  6. Step 6: Final answer
    x = 1,115.36

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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.