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Finding the Fourth Proportional to 771.49, 1,157.41 and 442.58

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Solution

The fourth proportional to 771.49, 1,157.41 and 442.58 is: 663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.49 : 1,157.41 = 442.58 : x
  2. Step 2: Convert to fraction form
    771.49/1,157.41 = 442.58/x
  3. Step 3: Cross multiply
    771.49x = 1,157.41 × 442.58
  4. Step 4: Simplify right side
    771.49x = 512,248.56
  5. Step 5: Solve for x
    x = 512,248.56/771.49
  6. Step 6: Final answer
    x = 663.97

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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.