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Finding the Fourth Proportional to 801.47, 1,107.81 and 581.96

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Solution

The fourth proportional to 801.47, 1,107.81 and 581.96 is: 804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.47 : 1,107.81 = 581.96 : x
  2. Step 2: Convert to fraction form
    801.47/1,107.81 = 581.96/x
  3. Step 3: Cross multiply
    801.47x = 1,107.81 × 581.96
  4. Step 4: Simplify right side
    801.47x = 644,703.88
  5. Step 5: Solve for x
    x = 644,703.88/801.47
  6. Step 6: Final answer
    x = 804.40

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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.