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Finding the Fourth Proportional to 1,323.74, 1,983.40 and 802.16

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Solution

The fourth proportional to 1,323.74, 1,983.40 and 802.16 is: 1,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.74 : 1,983.40 = 802.16 : x
  2. Step 2: Convert to fraction form
    1,323.74/1,983.40 = 802.16/x
  3. Step 3: Cross multiply
    1,323.74x = 1,983.40 × 802.16
  4. Step 4: Simplify right side
    1,323.74x = 1,591,004.14
  5. Step 5: Solve for x
    x = 1,591,004.14/1,323.74
  6. Step 6: Final answer
    x = 1,201.90

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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.