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Finding the Fourth Proportional to 895.74, 1,233.27 and 809.34

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Solution

The fourth proportional to 895.74, 1,233.27 and 809.34 is: 1,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,233.27 = 809.34 : x
  2. Step 2: Convert to fraction form
    895.74/1,233.27 = 809.34/x
  3. Step 3: Cross multiply
    895.74x = 1,233.27 × 809.34
  4. Step 4: Simplify right side
    895.74x = 998,134.74
  5. Step 5: Solve for x
    x = 998,134.74/895.74
  6. Step 6: Final answer
    x = 1,114.31

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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.