Home / 1,197.24-1,795.97-417.12

Finding the Fourth Proportional to 1,197.24, 1,795.97 and 417.12

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Solution

The fourth proportional to 1,197.24, 1,795.97 and 417.12 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.24 : 1,795.97 = 417.12 : x
  2. Step 2: Convert to fraction form
    1,197.24/1,795.97 = 417.12/x
  3. Step 3: Cross multiply
    1,197.24x = 1,795.97 × 417.12
  4. Step 4: Simplify right side
    1,197.24x = 749,123.94
  5. Step 5: Solve for x
    x = 749,123.94/1,197.24
  6. Step 6: Final answer
    x = 625.71

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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.