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Finding the Fourth Proportional to 1,388.11, 2,081.47 and 463.35

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Solution

The fourth proportional to 1,388.11, 2,081.47 and 463.35 is: 694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.11 : 2,081.47 = 463.35 : x
  2. Step 2: Convert to fraction form
    1,388.11/2,081.47 = 463.35/x
  3. Step 3: Cross multiply
    1,388.11x = 2,081.47 × 463.35
  4. Step 4: Simplify right side
    1,388.11x = 964,449.12
  5. Step 5: Solve for x
    x = 964,449.12/1,388.11
  6. Step 6: Final answer
    x = 694.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.