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Finding the Fourth Proportional to 1,025.79, 1,539.02 and 409.65

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Solution

The fourth proportional to 1,025.79, 1,539.02 and 409.65 is: 614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.79 : 1,539.02 = 409.65 : x
  2. Step 2: Convert to fraction form
    1,025.79/1,539.02 = 409.65/x
  3. Step 3: Cross multiply
    1,025.79x = 1,539.02 × 409.65
  4. Step 4: Simplify right side
    1,025.79x = 630,459.54
  5. Step 5: Solve for x
    x = 630,459.54/1,025.79
  6. Step 6: Final answer
    x = 614.61

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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.