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Finding the Fourth Proportional to 776.94, 1,165.42 and 289.99

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Solution

The fourth proportional to 776.94, 1,165.42 and 289.99 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.94 : 1,165.42 = 289.99 : x
  2. Step 2: Convert to fraction form
    776.94/1,165.42 = 289.99/x
  3. Step 3: Cross multiply
    776.94x = 1,165.42 × 289.99
  4. Step 4: Simplify right side
    776.94x = 337,952.87
  5. Step 5: Solve for x
    x = 337,952.87/776.94
  6. Step 6: Final answer
    x = 434.98

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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.