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Finding the Fourth Proportional to 944.40, 1,414.77 and 457.79

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Solution

The fourth proportional to 944.40, 1,414.77 and 457.79 is: 685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.40 : 1,414.77 = 457.79 : x
  2. Step 2: Convert to fraction form
    944.40/1,414.77 = 457.79/x
  3. Step 3: Cross multiply
    944.40x = 1,414.77 × 457.79
  4. Step 4: Simplify right side
    944.40x = 647,664.02
  5. Step 5: Solve for x
    x = 647,664.02/944.40
  6. Step 6: Final answer
    x = 685.80

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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.