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Finding the Fourth Proportional to 776.33, 1,164.89 and 502.34

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Solution

The fourth proportional to 776.33, 1,164.89 and 502.34 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.33 : 1,164.89 = 502.34 : x
  2. Step 2: Convert to fraction form
    776.33/1,164.89 = 502.34/x
  3. Step 3: Cross multiply
    776.33x = 1,164.89 × 502.34
  4. Step 4: Simplify right side
    776.33x = 585,175.01
  5. Step 5: Solve for x
    x = 585,175.01/776.33
  6. Step 6: Final answer
    x = 753.78

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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.