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Finding the Fourth Proportional to 772.48, 1,157.61 and 309.97

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Solution

The fourth proportional to 772.48, 1,157.61 and 309.97 is: 464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.48 : 1,157.61 = 309.97 : x
  2. Step 2: Convert to fraction form
    772.48/1,157.61 = 309.97/x
  3. Step 3: Cross multiply
    772.48x = 1,157.61 × 309.97
  4. Step 4: Simplify right side
    772.48x = 358,824.37
  5. Step 5: Solve for x
    x = 358,824.37/772.48
  6. Step 6: Final answer
    x = 464.51

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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.