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Finding the Fourth Proportional to 1,071.63, 1,605.62 and 827.42

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Solution

The fourth proportional to 1,071.63, 1,605.62 and 827.42 is: 1,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.63 : 1,605.62 = 827.42 : x
  2. Step 2: Convert to fraction form
    1,071.63/1,605.62 = 827.42/x
  3. Step 3: Cross multiply
    1,071.63x = 1,605.62 × 827.42
  4. Step 4: Simplify right side
    1,071.63x = 1,328,516.14
  5. Step 5: Solve for x
    x = 1,328,516.14/1,071.63
  6. Step 6: Final answer
    x = 1,239.72

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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.