Home / 684.03-1,026.24-197.13

Finding the Fourth Proportional to 684.03, 1,026.24 and 197.13

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Solution

The fourth proportional to 684.03, 1,026.24 and 197.13 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 1,026.24 = 197.13 : x
  2. Step 2: Convert to fraction form
    684.03/1,026.24 = 197.13/x
  3. Step 3: Cross multiply
    684.03x = 1,026.24 × 197.13
  4. Step 4: Simplify right side
    684.03x = 202,302.69
  5. Step 5: Solve for x
    x = 202,302.69/684.03
  6. Step 6: Final answer
    x = 295.75

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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.