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Finding the Fourth Proportional to 776.85, 1,165.05 and 314.52

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Solution

The fourth proportional to 776.85, 1,165.05 and 314.52 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,165.05 = 314.52 : x
  2. Step 2: Convert to fraction form
    776.85/1,165.05 = 314.52/x
  3. Step 3: Cross multiply
    776.85x = 1,165.05 × 314.52
  4. Step 4: Simplify right side
    776.85x = 366,431.53
  5. Step 5: Solve for x
    x = 366,431.53/776.85
  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.