Home / 1,334.20-2,001.54-409.74

Finding the Fourth Proportional to 1,334.20, 2,001.54 and 409.74

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Solution

The fourth proportional to 1,334.20, 2,001.54 and 409.74 is: 614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.20 : 2,001.54 = 409.74 : x
  2. Step 2: Convert to fraction form
    1,334.20/2,001.54 = 409.74/x
  3. Step 3: Cross multiply
    1,334.20x = 2,001.54 × 409.74
  4. Step 4: Simplify right side
    1,334.20x = 820,111.00
  5. Step 5: Solve for x
    x = 820,111.00/1,334.20
  6. Step 6: Final answer
    x = 614.68

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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.