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Finding the Fourth Proportional to 1,071.72, 1,613.82 and 936.36

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Solution

The fourth proportional to 1,071.72, 1,613.82 and 936.36 is: 1,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.72 : 1,613.82 = 936.36 : x
  2. Step 2: Convert to fraction form
    1,071.72/1,613.82 = 936.36/x
  3. Step 3: Cross multiply
    1,071.72x = 1,613.82 × 936.36
  4. Step 4: Simplify right side
    1,071.72x = 1,511,116.50
  5. Step 5: Solve for x
    x = 1,511,116.50/1,071.72
  6. Step 6: Final answer
    x = 1,409.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.