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Finding the Fourth Proportional to 1,401.23, 1,933.54 and 811.65

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Solution

The fourth proportional to 1,401.23, 1,933.54 and 811.65 is: 1,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.23 : 1,933.54 = 811.65 : x
  2. Step 2: Convert to fraction form
    1,401.23/1,933.54 = 811.65/x
  3. Step 3: Cross multiply
    1,401.23x = 1,933.54 × 811.65
  4. Step 4: Simplify right side
    1,401.23x = 1,569,357.74
  5. Step 5: Solve for x
    x = 1,569,357.74/1,401.23
  6. Step 6: Final answer
    x = 1,119.99

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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.