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Finding the Fourth Proportional to 776.74, 1,165.51 and 314.57

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Solution

The fourth proportional to 776.74, 1,165.51 and 314.57 is: 472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.74 : 1,165.51 = 314.57 : x
  2. Step 2: Convert to fraction form
    776.74/1,165.51 = 314.57/x
  3. Step 3: Cross multiply
    776.74x = 1,165.51 × 314.57
  4. Step 4: Simplify right side
    776.74x = 366,634.48
  5. Step 5: Solve for x
    x = 366,634.48/776.74
  6. Step 6: Final answer
    x = 472.02

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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.