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Finding the Fourth Proportional to 1,463.32, 2,019.30 and 800.14

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Solution

The fourth proportional to 1,463.32, 2,019.30 and 800.14 is: 1,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.32 : 2,019.30 = 800.14 : x
  2. Step 2: Convert to fraction form
    1,463.32/2,019.30 = 800.14/x
  3. Step 3: Cross multiply
    1,463.32x = 2,019.30 × 800.14
  4. Step 4: Simplify right side
    1,463.32x = 1,615,722.70
  5. Step 5: Solve for x
    x = 1,615,722.70/1,463.32
  6. Step 6: Final answer
    x = 1,104.15

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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.