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Finding the Fourth Proportional to 944.50, 1,416.84 and 456.88

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Solution

The fourth proportional to 944.50, 1,416.84 and 456.88 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.50 : 1,416.84 = 456.88 : x
  2. Step 2: Convert to fraction form
    944.50/1,416.84 = 456.88/x
  3. Step 3: Cross multiply
    944.50x = 1,416.84 × 456.88
  4. Step 4: Simplify right side
    944.50x = 647,325.86
  5. Step 5: Solve for x
    x = 647,325.86/944.50
  6. Step 6: Final answer
    x = 685.36

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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.