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Finding the Fourth Proportional to 772.26, 1,157.85 and 402

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Solution

The fourth proportional to 772.26, 1,157.85 and 402 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,157.85 = 402 : x
  2. Step 2: Convert to fraction form
    772.26/1,157.85 = 402/x
  3. Step 3: Cross multiply
    772.26x = 1,157.85 × 402
  4. Step 4: Simplify right side
    772.26x = 465,455.70
  5. Step 5: Solve for x
    x = 465,455.70/772.26
  6. Step 6: Final answer
    x = 602.72

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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.