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Finding the Fourth Proportional to 772.05, 1,157.53 and 285.03

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Solution

The fourth proportional to 772.05, 1,157.53 and 285.03 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.05 : 1,157.53 = 285.03 : x
  2. Step 2: Convert to fraction form
    772.05/1,157.53 = 285.03/x
  3. Step 3: Cross multiply
    772.05x = 1,157.53 × 285.03
  4. Step 4: Simplify right side
    772.05x = 329,930.78
  5. Step 5: Solve for x
    x = 329,930.78/772.05
  6. Step 6: Final answer
    x = 427.34

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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.