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Finding the Fourth Proportional to 1,078.52, 1,617.77 and 462.71

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Solution

The fourth proportional to 1,078.52, 1,617.77 and 462.71 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.52 : 1,617.77 = 462.71 : x
  2. Step 2: Convert to fraction form
    1,078.52/1,617.77 = 462.71/x
  3. Step 3: Cross multiply
    1,078.52x = 1,617.77 × 462.71
  4. Step 4: Simplify right side
    1,078.52x = 748,563.56
  5. Step 5: Solve for x
    x = 748,563.56/1,078.52
  6. Step 6: Final answer
    x = 694.07

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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.