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Finding the Fourth Proportional to 682.94, 1,025.02 and 439.74

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Solution

The fourth proportional to 682.94, 1,025.02 and 439.74 is: 660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 1,025.02 = 439.74 : x
  2. Step 2: Convert to fraction form
    682.94/1,025.02 = 439.74/x
  3. Step 3: Cross multiply
    682.94x = 1,025.02 × 439.74
  4. Step 4: Simplify right side
    682.94x = 450,742.29
  5. Step 5: Solve for x
    x = 450,742.29/682.94
  6. Step 6: Final answer
    x = 660.00

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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.