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Finding the Fourth Proportional to 772.98, 1,157.76 and 447.54

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Solution

The fourth proportional to 772.98, 1,157.76 and 447.54 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.98 : 1,157.76 = 447.54 : x
  2. Step 2: Convert to fraction form
    772.98/1,157.76 = 447.54/x
  3. Step 3: Cross multiply
    772.98x = 1,157.76 × 447.54
  4. Step 4: Simplify right side
    772.98x = 518,143.91
  5. Step 5: Solve for x
    x = 518,143.91/772.98
  6. Step 6: Final answer
    x = 670.32

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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.