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Finding the Fourth Proportional to 1,400.30, 1,932.17 and 810.73

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Solution

The fourth proportional to 1,400.30, 1,932.17 and 810.73 is: 1,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.30 : 1,932.17 = 810.73 : x
  2. Step 2: Convert to fraction form
    1,400.30/1,932.17 = 810.73/x
  3. Step 3: Cross multiply
    1,400.30x = 1,932.17 × 810.73
  4. Step 4: Simplify right side
    1,400.30x = 1,566,468.18
  5. Step 5: Solve for x
    x = 1,566,468.18/1,400.30
  6. Step 6: Final answer
    x = 1,118.67

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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.