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Finding the Fourth Proportional to 776.17, 1,164.65 and 516.35

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Solution

The fourth proportional to 776.17, 1,164.65 and 516.35 is: 774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.17 : 1,164.65 = 516.35 : x
  2. Step 2: Convert to fraction form
    776.17/1,164.65 = 516.35/x
  3. Step 3: Cross multiply
    776.17x = 1,164.65 × 516.35
  4. Step 4: Simplify right side
    776.17x = 601,364.12
  5. Step 5: Solve for x
    x = 601,364.12/776.17
  6. Step 6: Final answer
    x = 774.78

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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.