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Finding the Fourth Proportional to 776.81, 1,165.11 and 314.84

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Solution

The fourth proportional to 776.81, 1,165.11 and 314.84 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.81 : 1,165.11 = 314.84 : x
  2. Step 2: Convert to fraction form
    776.81/1,165.11 = 314.84/x
  3. Step 3: Cross multiply
    776.81x = 1,165.11 × 314.84
  4. Step 4: Simplify right side
    776.81x = 366,823.23
  5. Step 5: Solve for x
    x = 366,823.23/776.81
  6. Step 6: Final answer
    x = 472.22

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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.