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Finding the Fourth Proportional to 776.79, 1,165.34 and 289.83

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Solution

The fourth proportional to 776.79, 1,165.34 and 289.83 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.79 : 1,165.34 = 289.83 : x
  2. Step 2: Convert to fraction form
    776.79/1,165.34 = 289.83/x
  3. Step 3: Cross multiply
    776.79x = 1,165.34 × 289.83
  4. Step 4: Simplify right side
    776.79x = 337,747.40
  5. Step 5: Solve for x
    x = 337,747.40/776.79
  6. Step 6: Final answer
    x = 434.80

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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.