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Finding the Fourth Proportional to 1,388.09, 2,080.78 and 463.17

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Solution

The fourth proportional to 1,388.09, 2,080.78 and 463.17 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.09 : 2,080.78 = 463.17 : x
  2. Step 2: Convert to fraction form
    1,388.09/2,080.78 = 463.17/x
  3. Step 3: Cross multiply
    1,388.09x = 2,080.78 × 463.17
  4. Step 4: Simplify right side
    1,388.09x = 963,753.71
  5. Step 5: Solve for x
    x = 963,753.71/1,388.09
  6. Step 6: Final answer
    x = 694.30

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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.