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Finding the Fourth Proportional to 771.67, 1,155.44 and 405.69

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Solution

The fourth proportional to 771.67, 1,155.44 and 405.69 is: 607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,155.44 = 405.69 : x
  2. Step 2: Convert to fraction form
    771.67/1,155.44 = 405.69/x
  3. Step 3: Cross multiply
    771.67x = 1,155.44 × 405.69
  4. Step 4: Simplify right side
    771.67x = 468,747.13
  5. Step 5: Solve for x
    x = 468,747.13/771.67
  6. Step 6: Final answer
    x = 607.44

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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.