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Finding the Fourth Proportional to 825.66, 1,138.73 and 601.29

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Solution

The fourth proportional to 825.66, 1,138.73 and 601.29 is: 829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.66 : 1,138.73 = 601.29 : x
  2. Step 2: Convert to fraction form
    825.66/1,138.73 = 601.29/x
  3. Step 3: Cross multiply
    825.66x = 1,138.73 × 601.29
  4. Step 4: Simplify right side
    825.66x = 684,703.96
  5. Step 5: Solve for x
    x = 684,703.96/825.66
  6. Step 6: Final answer
    x = 829.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.