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Finding the Fourth Proportional to 770.22, 1,153.26 and 404.24

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Solution

The fourth proportional to 770.22, 1,153.26 and 404.24 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.22 : 1,153.26 = 404.24 : x
  2. Step 2: Convert to fraction form
    770.22/1,153.26 = 404.24/x
  3. Step 3: Cross multiply
    770.22x = 1,153.26 × 404.24
  4. Step 4: Simplify right side
    770.22x = 466,188.06
  5. Step 5: Solve for x
    x = 466,188.06/770.22
  6. Step 6: Final answer
    x = 605.27

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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.