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Finding the Fourth Proportional to 812.48, 1,121.52 and 580.32

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Solution

The fourth proportional to 812.48, 1,121.52 and 580.32 is: 801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.48 : 1,121.52 = 580.32 : x
  2. Step 2: Convert to fraction form
    812.48/1,121.52 = 580.32/x
  3. Step 3: Cross multiply
    812.48x = 1,121.52 × 580.32
  4. Step 4: Simplify right side
    812.48x = 650,840.49
  5. Step 5: Solve for x
    x = 650,840.49/812.48
  6. Step 6: Final answer
    x = 801.05

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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.