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Finding the Fourth Proportional to 1,025.93, 1,539.14 and 409.73

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Solution

The fourth proportional to 1,025.93, 1,539.14 and 409.73 is: 614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.93 : 1,539.14 = 409.73 : x
  2. Step 2: Convert to fraction form
    1,025.93/1,539.14 = 409.73/x
  3. Step 3: Cross multiply
    1,025.93x = 1,539.14 × 409.73
  4. Step 4: Simplify right side
    1,025.93x = 630,622.09
  5. Step 5: Solve for x
    x = 630,622.09/1,025.93
  6. Step 6: Final answer
    x = 614.68

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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.