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Finding the Fourth Proportional to 1,399.72, 1,932.27 and 810.14

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Solution

The fourth proportional to 1,399.72, 1,932.27 and 810.14 is: 1,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.72 : 1,932.27 = 810.14 : x
  2. Step 2: Convert to fraction form
    1,399.72/1,932.27 = 810.14/x
  3. Step 3: Cross multiply
    1,399.72x = 1,932.27 × 810.14
  4. Step 4: Simplify right side
    1,399.72x = 1,565,403.76
  5. Step 5: Solve for x
    x = 1,565,403.76/1,399.72
  6. Step 6: Final answer
    x = 1,118.37

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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.