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Finding the Fourth Proportional to 1,071.97, 1,608.07 and 291.94

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Solution

The fourth proportional to 1,071.97, 1,608.07 and 291.94 is: 437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.97 : 1,608.07 = 291.94 : x
  2. Step 2: Convert to fraction form
    1,071.97/1,608.07 = 291.94/x
  3. Step 3: Cross multiply
    1,071.97x = 1,608.07 × 291.94
  4. Step 4: Simplify right side
    1,071.97x = 469,463.15
  5. Step 5: Solve for x
    x = 469,463.15/1,071.97
  6. Step 6: Final answer
    x = 437.94

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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.