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Finding the Fourth Proportional to 776.18, 1,168.20 and 582.23

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Solution

The fourth proportional to 776.18, 1,168.20 and 582.23 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.18 : 1,168.20 = 582.23 : x
  2. Step 2: Convert to fraction form
    776.18/1,168.20 = 582.23/x
  3. Step 3: Cross multiply
    776.18x = 1,168.20 × 582.23
  4. Step 4: Simplify right side
    776.18x = 680,164.01
  5. Step 5: Solve for x
    x = 680,164.01/776.18
  6. Step 6: Final answer
    x = 876.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.