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Finding the Fourth Proportional to 1,001.72, 1,495.82 and 793.96

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Solution

The fourth proportional to 1,001.72, 1,495.82 and 793.96 is: 1,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.72 : 1,495.82 = 793.96 : x
  2. Step 2: Convert to fraction form
    1,001.72/1,495.82 = 793.96/x
  3. Step 3: Cross multiply
    1,001.72x = 1,495.82 × 793.96
  4. Step 4: Simplify right side
    1,001.72x = 1,187,621.25
  5. Step 5: Solve for x
    x = 1,187,621.25/1,001.72
  6. Step 6: Final answer
    x = 1,185.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.