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Finding the Fourth Proportional to 1,066.52, 1,599.96 and 806.88

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Solution

The fourth proportional to 1,066.52, 1,599.96 and 806.88 is: 1,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.52 : 1,599.96 = 806.88 : x
  2. Step 2: Convert to fraction form
    1,066.52/1,599.96 = 806.88/x
  3. Step 3: Cross multiply
    1,066.52x = 1,599.96 × 806.88
  4. Step 4: Simplify right side
    1,066.52x = 1,290,975.72
  5. Step 5: Solve for x
    x = 1,290,975.72/1,066.52
  6. Step 6: Final answer
    x = 1,210.46

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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.