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Finding the Fourth Proportional to 892.36, 1,231.14 and 581.32

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Solution

The fourth proportional to 892.36, 1,231.14 and 581.32 is: 802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.36 : 1,231.14 = 581.32 : x
  2. Step 2: Convert to fraction form
    892.36/1,231.14 = 581.32/x
  3. Step 3: Cross multiply
    892.36x = 1,231.14 × 581.32
  4. Step 4: Simplify right side
    892.36x = 715,686.30
  5. Step 5: Solve for x
    x = 715,686.30/892.36
  6. Step 6: Final answer
    x = 802.02

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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.