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Finding the Fourth Proportional to 776.14, 1,165.05 and 314.24

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Solution

The fourth proportional to 776.14, 1,165.05 and 314.24 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.14 : 1,165.05 = 314.24 : x
  2. Step 2: Convert to fraction form
    776.14/1,165.05 = 314.24/x
  3. Step 3: Cross multiply
    776.14x = 1,165.05 × 314.24
  4. Step 4: Simplify right side
    776.14x = 366,099.49
  5. Step 5: Solve for x
    x = 366,099.49/776.14
  6. Step 6: Final answer
    x = 471.69

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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.