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Finding the Fourth Proportional to 1,802.25, 2,703.78 and 648

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Solution

The fourth proportional to 1,802.25, 2,703.78 and 648 is: 972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.25 : 2,703.78 = 648 : x
  2. Step 2: Convert to fraction form
    1,802.25/2,703.78 = 648/x
  3. Step 3: Cross multiply
    1,802.25x = 2,703.78 × 648
  4. Step 4: Simplify right side
    1,802.25x = 1,752,049.44
  5. Step 5: Solve for x
    x = 1,752,049.44/1,802.25
  6. Step 6: Final answer
    x = 972.15

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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.