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Finding the Fourth Proportional to 1,400.67, 1,932.15 and 810.99

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Solution

The fourth proportional to 1,400.67, 1,932.15 and 810.99 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.67 : 1,932.15 = 810.99 : x
  2. Step 2: Convert to fraction form
    1,400.67/1,932.15 = 810.99/x
  3. Step 3: Cross multiply
    1,400.67x = 1,932.15 × 810.99
  4. Step 4: Simplify right side
    1,400.67x = 1,566,954.33
  5. Step 5: Solve for x
    x = 1,566,954.33/1,400.67
  6. Step 6: Final answer
    x = 1,118.72

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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.