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Finding the Fourth Proportional to 776.72, 1,165.08 and 289.76

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Solution

The fourth proportional to 776.72, 1,165.08 and 289.76 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.72 : 1,165.08 = 289.76 : x
  2. Step 2: Convert to fraction form
    776.72/1,165.08 = 289.76/x
  3. Step 3: Cross multiply
    776.72x = 1,165.08 × 289.76
  4. Step 4: Simplify right side
    776.72x = 337,593.58
  5. Step 5: Solve for x
    x = 337,593.58/776.72
  6. Step 6: Final answer
    x = 434.64

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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.