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Finding the Fourth Proportional to 1,072.09, 1,608.10 and 292.13

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Solution

The fourth proportional to 1,072.09, 1,608.10 and 292.13 is: 438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.09 : 1,608.10 = 292.13 : x
  2. Step 2: Convert to fraction form
    1,072.09/1,608.10 = 292.13/x
  3. Step 3: Cross multiply
    1,072.09x = 1,608.10 × 292.13
  4. Step 4: Simplify right side
    1,072.09x = 469,777.68
  5. Step 5: Solve for x
    x = 469,777.68/1,072.09
  6. Step 6: Final answer
    x = 438.19

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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.