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Finding the Fourth Proportional to 1,399.53, 1,932.01 and 809.95

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Solution

The fourth proportional to 1,399.53, 1,932.01 and 809.95 is: 1,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.53 : 1,932.01 = 809.95 : x
  2. Step 2: Convert to fraction form
    1,399.53/1,932.01 = 809.95/x
  3. Step 3: Cross multiply
    1,399.53x = 1,932.01 × 809.95
  4. Step 4: Simplify right side
    1,399.53x = 1,564,831.89
  5. Step 5: Solve for x
    x = 1,564,831.89/1,399.53
  6. Step 6: Final answer
    x = 1,118.11

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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.