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Finding the Fourth Proportional to 1,066.41, 1,599.69 and 286.39

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Solution

The fourth proportional to 1,066.41, 1,599.69 and 286.39 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.41 : 1,599.69 = 286.39 : x
  2. Step 2: Convert to fraction form
    1,066.41/1,599.69 = 286.39/x
  3. Step 3: Cross multiply
    1,066.41x = 1,599.69 × 286.39
  4. Step 4: Simplify right side
    1,066.41x = 458,135.22
  5. Step 5: Solve for x
    x = 458,135.22/1,066.41
  6. Step 6: Final answer
    x = 429.61

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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.