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Finding the Fourth Proportional to 1,388.30, 2,081.75 and 463.53

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Solution

The fourth proportional to 1,388.30, 2,081.75 and 463.53 is: 695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.30 : 2,081.75 = 463.53 : x
  2. Step 2: Convert to fraction form
    1,388.30/2,081.75 = 463.53/x
  3. Step 3: Cross multiply
    1,388.30x = 2,081.75 × 463.53
  4. Step 4: Simplify right side
    1,388.30x = 964,954.74
  5. Step 5: Solve for x
    x = 964,954.74/1,388.30
  6. Step 6: Final answer
    x = 695.06

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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.