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Finding the Fourth Proportional to 1,066.42, 1,599.74 and 286.44

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Solution

The fourth proportional to 1,066.42, 1,599.74 and 286.44 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.42 : 1,599.74 = 286.44 : x
  2. Step 2: Convert to fraction form
    1,066.42/1,599.74 = 286.44/x
  3. Step 3: Cross multiply
    1,066.42x = 1,599.74 × 286.44
  4. Step 4: Simplify right side
    1,066.42x = 458,229.53
  5. Step 5: Solve for x
    x = 458,229.53/1,066.42
  6. Step 6: Final answer
    x = 429.69

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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.