Home / 1,025.10-1,537.29-409.02

Finding the Fourth Proportional to 1,025.10, 1,537.29 and 409.02

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Solution

The fourth proportional to 1,025.10, 1,537.29 and 409.02 is: 613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.10 : 1,537.29 = 409.02 : x
  2. Step 2: Convert to fraction form
    1,025.10/1,537.29 = 409.02/x
  3. Step 3: Cross multiply
    1,025.10x = 1,537.29 × 409.02
  4. Step 4: Simplify right side
    1,025.10x = 628,782.36
  5. Step 5: Solve for x
    x = 628,782.36/1,025.10
  6. Step 6: Final answer
    x = 613.39

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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.