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Finding the Fourth Proportional to 776.76, 1,165.32 and 289.77

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Solution

The fourth proportional to 776.76, 1,165.32 and 289.77 is: 434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.76 : 1,165.32 = 289.77 : x
  2. Step 2: Convert to fraction form
    776.76/1,165.32 = 289.77/x
  3. Step 3: Cross multiply
    776.76x = 1,165.32 × 289.77
  4. Step 4: Simplify right side
    776.76x = 337,674.78
  5. Step 5: Solve for x
    x = 337,674.78/776.76
  6. Step 6: Final answer
    x = 434.72

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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.