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Finding the Fourth Proportional to 772.25, 1,157.90 and 285.24

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Solution

The fourth proportional to 772.25, 1,157.90 and 285.24 is: 427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.25 : 1,157.90 = 285.24 : x
  2. Step 2: Convert to fraction form
    772.25/1,157.90 = 285.24/x
  3. Step 3: Cross multiply
    772.25x = 1,157.90 × 285.24
  4. Step 4: Simplify right side
    772.25x = 330,279.40
  5. Step 5: Solve for x
    x = 330,279.40/772.25
  6. Step 6: Final answer
    x = 427.68

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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.