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Finding the Fourth Proportional to 806.12, 1,206.62 and 583.36

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Solution

The fourth proportional to 806.12, 1,206.62 and 583.36 is: 873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.12 : 1,206.62 = 583.36 : x
  2. Step 2: Convert to fraction form
    806.12/1,206.62 = 583.36/x
  3. Step 3: Cross multiply
    806.12x = 1,206.62 × 583.36
  4. Step 4: Simplify right side
    806.12x = 703,893.84
  5. Step 5: Solve for x
    x = 703,893.84/806.12
  6. Step 6: Final answer
    x = 873.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.