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Finding the Fourth Proportional to 807.46, 1,114.41 and 584.12

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Solution

The fourth proportional to 807.46, 1,114.41 and 584.12 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.46 : 1,114.41 = 584.12 : x
  2. Step 2: Convert to fraction form
    807.46/1,114.41 = 584.12/x
  3. Step 3: Cross multiply
    807.46x = 1,114.41 × 584.12
  4. Step 4: Simplify right side
    807.46x = 650,949.17
  5. Step 5: Solve for x
    x = 650,949.17/807.46
  6. Step 6: Final answer
    x = 806.17

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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.