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Finding the Fourth Proportional to 806.72, 1,113.12 and 651.84

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Solution

The fourth proportional to 806.72, 1,113.12 and 651.84 is: 899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.72 : 1,113.12 = 651.84 : x
  2. Step 2: Convert to fraction form
    806.72/1,113.12 = 651.84/x
  3. Step 3: Cross multiply
    806.72x = 1,113.12 × 651.84
  4. Step 4: Simplify right side
    806.72x = 725,576.14
  5. Step 5: Solve for x
    x = 725,576.14/806.72
  6. Step 6: Final answer
    x = 899.42

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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.