Home / 1,463.29-2,019.34-800.14

Finding the Fourth Proportional to 1,463.29, 2,019.34 and 800.14

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Solution

The fourth proportional to 1,463.29, 2,019.34 and 800.14 is: 1,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.29 : 2,019.34 = 800.14 : x
  2. Step 2: Convert to fraction form
    1,463.29/2,019.34 = 800.14/x
  3. Step 3: Cross multiply
    1,463.29x = 2,019.34 × 800.14
  4. Step 4: Simplify right side
    1,463.29x = 1,615,754.71
  5. Step 5: Solve for x
    x = 1,615,754.71/1,463.29
  6. Step 6: Final answer
    x = 1,104.19

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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.