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Finding the Fourth Proportional to 770.52, 1,153.32 and 404.80

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Solution

The fourth proportional to 770.52, 1,153.32 and 404.80 is: 605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.52 : 1,153.32 = 404.80 : x
  2. Step 2: Convert to fraction form
    770.52/1,153.32 = 404.80/x
  3. Step 3: Cross multiply
    770.52x = 1,153.32 × 404.80
  4. Step 4: Simplify right side
    770.52x = 466,863.94
  5. Step 5: Solve for x
    x = 466,863.94/770.52
  6. Step 6: Final answer
    x = 605.91

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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.