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Finding the Fourth Proportional to 1,066.47, 1,599.57 and 286.53

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Solution

The fourth proportional to 1,066.47, 1,599.57 and 286.53 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.47 : 1,599.57 = 286.53 : x
  2. Step 2: Convert to fraction form
    1,066.47/1,599.57 = 286.53/x
  3. Step 3: Cross multiply
    1,066.47x = 1,599.57 × 286.53
  4. Step 4: Simplify right side
    1,066.47x = 458,324.79
  5. Step 5: Solve for x
    x = 458,324.79/1,066.47
  6. Step 6: Final answer
    x = 429.76

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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.