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Finding the Fourth Proportional to 944.28, 1,416.83 and 457.34

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Solution

The fourth proportional to 944.28, 1,416.83 and 457.34 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.28 : 1,416.83 = 457.34 : x
  2. Step 2: Convert to fraction form
    944.28/1,416.83 = 457.34/x
  3. Step 3: Cross multiply
    944.28x = 1,416.83 × 457.34
  4. Step 4: Simplify right side
    944.28x = 647,973.03
  5. Step 5: Solve for x
    x = 647,973.03/944.28
  6. Step 6: Final answer
    x = 686.21

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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.