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Finding the Fourth Proportional to 1,066.62, 1,599.94 and 1,042.32

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Solution

The fourth proportional to 1,066.62, 1,599.94 and 1,042.32 is: 1,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.62 : 1,599.94 = 1,042.32 : x
  2. Step 2: Convert to fraction form
    1,066.62/1,599.94 = 1,042.32/x
  3. Step 3: Cross multiply
    1,066.62x = 1,599.94 × 1,042.32
  4. Step 4: Simplify right side
    1,066.62x = 1,667,649.46
  5. Step 5: Solve for x
    x = 1,667,649.46/1,066.62
  6. Step 6: Final answer
    x = 1,563.49

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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.