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Finding the Fourth Proportional to 1,463.34, 2,019.45 and 800.22

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Solution

The fourth proportional to 1,463.34, 2,019.45 and 800.22 is: 1,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.34 : 2,019.45 = 800.22 : x
  2. Step 2: Convert to fraction form
    1,463.34/2,019.45 = 800.22/x
  3. Step 3: Cross multiply
    1,463.34x = 2,019.45 × 800.22
  4. Step 4: Simplify right side
    1,463.34x = 1,616,004.28
  5. Step 5: Solve for x
    x = 1,616,004.28/1,463.34
  6. Step 6: Final answer
    x = 1,104.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.