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Finding the Fourth Proportional to 1,025.73, 1,537.65 and 409.05

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Solution

The fourth proportional to 1,025.73, 1,537.65 and 409.05 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.73 : 1,537.65 = 409.05 : x
  2. Step 2: Convert to fraction form
    1,025.73/1,537.65 = 409.05/x
  3. Step 3: Cross multiply
    1,025.73x = 1,537.65 × 409.05
  4. Step 4: Simplify right side
    1,025.73x = 628,975.73
  5. Step 5: Solve for x
    x = 628,975.73/1,025.73
  6. Step 6: Final answer
    x = 613.20

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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.