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Finding the Fourth Proportional to 1,092.33, 1,506.64 and 719.19

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Solution

The fourth proportional to 1,092.33, 1,506.64 and 719.19 is: 991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.33 : 1,506.64 = 719.19 : x
  2. Step 2: Convert to fraction form
    1,092.33/1,506.64 = 719.19/x
  3. Step 3: Cross multiply
    1,092.33x = 1,506.64 × 719.19
  4. Step 4: Simplify right side
    1,092.33x = 1,083,560.42
  5. Step 5: Solve for x
    x = 1,083,560.42/1,092.33
  6. Step 6: Final answer
    x = 991.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.