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Finding the Fourth Proportional to 776.24, 1,165.17 and 468.85

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Solution

The fourth proportional to 776.24, 1,165.17 and 468.85 is: 703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.24 : 1,165.17 = 468.85 : x
  2. Step 2: Convert to fraction form
    776.24/1,165.17 = 468.85/x
  3. Step 3: Cross multiply
    776.24x = 1,165.17 × 468.85
  4. Step 4: Simplify right side
    776.24x = 546,289.95
  5. Step 5: Solve for x
    x = 546,289.95/776.24
  6. Step 6: Final answer
    x = 703.76

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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.