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Finding the Fourth Proportional to 776.89, 1,164.60 and 411.91

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Solution

The fourth proportional to 776.89, 1,164.60 and 411.91 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,164.60 = 411.91 : x
  2. Step 2: Convert to fraction form
    776.89/1,164.60 = 411.91/x
  3. Step 3: Cross multiply
    776.89x = 1,164.60 × 411.91
  4. Step 4: Simplify right side
    776.89x = 479,710.39
  5. Step 5: Solve for x
    x = 479,710.39/776.89
  6. Step 6: Final answer
    x = 617.48

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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.