Home / 1,347.10-2,020.14-409.75

Finding the Fourth Proportional to 1,347.10, 2,020.14 and 409.75

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Solution

The fourth proportional to 1,347.10, 2,020.14 and 409.75 is: 614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.10 : 2,020.14 = 409.75 : x
  2. Step 2: Convert to fraction form
    1,347.10/2,020.14 = 409.75/x
  3. Step 3: Cross multiply
    1,347.10x = 2,020.14 × 409.75
  4. Step 4: Simplify right side
    1,347.10x = 827,752.37
  5. Step 5: Solve for x
    x = 827,752.37/1,347.10
  6. Step 6: Final answer
    x = 614.47

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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.