Home / 1,025.40-1,537.20-409.52

Finding the Fourth Proportional to 1,025.40, 1,537.20 and 409.52

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Solution

The fourth proportional to 1,025.40, 1,537.20 and 409.52 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.40 : 1,537.20 = 409.52 : x
  2. Step 2: Convert to fraction form
    1,025.40/1,537.20 = 409.52/x
  3. Step 3: Cross multiply
    1,025.40x = 1,537.20 × 409.52
  4. Step 4: Simplify right side
    1,025.40x = 629,514.14
  5. Step 5: Solve for x
    x = 629,514.14/1,025.40
  6. Step 6: Final answer
    x = 613.92

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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.