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Finding the Fourth Proportional to 1,320.98, 1,982.22 and 802.02

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Solution

The fourth proportional to 1,320.98, 1,982.22 and 802.02 is: 1,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.98 : 1,982.22 = 802.02 : x
  2. Step 2: Convert to fraction form
    1,320.98/1,982.22 = 802.02/x
  3. Step 3: Cross multiply
    1,320.98x = 1,982.22 × 802.02
  4. Step 4: Simplify right side
    1,320.98x = 1,589,777.87
  5. Step 5: Solve for x
    x = 1,589,777.87/1,320.98
  6. Step 6: Final answer
    x = 1,203.49

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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.