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Finding the Fourth Proportional to 891.36, 1,229.76 and 580.32

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Solution

The fourth proportional to 891.36, 1,229.76 and 580.32 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.36 : 1,229.76 = 580.32 : x
  2. Step 2: Convert to fraction form
    891.36/1,229.76 = 580.32/x
  3. Step 3: Cross multiply
    891.36x = 1,229.76 × 580.32
  4. Step 4: Simplify right side
    891.36x = 713,654.32
  5. Step 5: Solve for x
    x = 713,654.32/891.36
  6. Step 6: Final answer
    x = 800.64

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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.