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Finding the Fourth Proportional to 1,388.18, 2,081.81 and 463.48

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Solution

The fourth proportional to 1,388.18, 2,081.81 and 463.48 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.18 : 2,081.81 = 463.48 : x
  2. Step 2: Convert to fraction form
    1,388.18/2,081.81 = 463.48/x
  3. Step 3: Cross multiply
    1,388.18x = 2,081.81 × 463.48
  4. Step 4: Simplify right side
    1,388.18x = 964,877.30
  5. Step 5: Solve for x
    x = 964,877.30/1,388.18
  6. Step 6: Final answer
    x = 695.07

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Why These Related Problems?

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