Home / 1,224.07-1,835.29-402.06

Finding the Fourth Proportional to 1,224.07, 1,835.29 and 402.06

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Solution

The fourth proportional to 1,224.07, 1,835.29 and 402.06 is: 602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.07 : 1,835.29 = 402.06 : x
  2. Step 2: Convert to fraction form
    1,224.07/1,835.29 = 402.06/x
  3. Step 3: Cross multiply
    1,224.07x = 1,835.29 × 402.06
  4. Step 4: Simplify right side
    1,224.07x = 737,896.70
  5. Step 5: Solve for x
    x = 737,896.70/1,224.07
  6. Step 6: Final answer
    x = 602.82

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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.