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Finding the Fourth Proportional to 776.47, 1,165.17 and 289.87

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Solution

The fourth proportional to 776.47, 1,165.17 and 289.87 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.47 : 1,165.17 = 289.87 : x
  2. Step 2: Convert to fraction form
    776.47/1,165.17 = 289.87/x
  3. Step 3: Cross multiply
    776.47x = 1,165.17 × 289.87
  4. Step 4: Simplify right side
    776.47x = 337,747.83
  5. Step 5: Solve for x
    x = 337,747.83/776.47
  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.