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Finding the Fourth Proportional to 1,072.93, 1,607.58 and 486.97

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Solution

The fourth proportional to 1,072.93, 1,607.58 and 486.97 is: 729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.93 : 1,607.58 = 486.97 : x
  2. Step 2: Convert to fraction form
    1,072.93/1,607.58 = 486.97/x
  3. Step 3: Cross multiply
    1,072.93x = 1,607.58 × 486.97
  4. Step 4: Simplify right side
    1,072.93x = 782,843.23
  5. Step 5: Solve for x
    x = 782,843.23/1,072.93
  6. Step 6: Final answer
    x = 729.63

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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.