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Finding the Fourth Proportional to 772.24, 1,157.70 and 285.20

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Solution

The fourth proportional to 772.24, 1,157.70 and 285.20 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,157.70 = 285.20 : x
  2. Step 2: Convert to fraction form
    772.24/1,157.70 = 285.20/x
  3. Step 3: Cross multiply
    772.24x = 1,157.70 × 285.20
  4. Step 4: Simplify right side
    772.24x = 330,176.04
  5. Step 5: Solve for x
    x = 330,176.04/772.24
  6. Step 6: Final answer
    x = 427.56

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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.