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Finding the Fourth Proportional to 772.24, 1,157.40 and 446.92

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Solution

The fourth proportional to 772.24, 1,157.40 and 446.92 is: 669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,157.40 = 446.92 : x
  2. Step 2: Convert to fraction form
    772.24/1,157.40 = 446.92/x
  3. Step 3: Cross multiply
    772.24x = 1,157.40 × 446.92
  4. Step 4: Simplify right side
    772.24x = 517,265.21
  5. Step 5: Solve for x
    x = 517,265.21/772.24
  6. Step 6: Final answer
    x = 669.82

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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.