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Finding the Fourth Proportional to 1,066.65, 1,599.75 and 286.62

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Solution

The fourth proportional to 1,066.65, 1,599.75 and 286.62 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.65 : 1,599.75 = 286.62 : x
  2. Step 2: Convert to fraction form
    1,066.65/1,599.75 = 286.62/x
  3. Step 3: Cross multiply
    1,066.65x = 1,599.75 × 286.62
  4. Step 4: Simplify right side
    1,066.65x = 458,520.35
  5. Step 5: Solve for x
    x = 458,520.35/1,066.65
  6. Step 6: Final answer
    x = 429.87

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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.