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Finding the Fourth Proportional to 1,092.72, 1,507.80 and 738.96

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Solution

The fourth proportional to 1,092.72, 1,507.80 and 738.96 is: 1,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.72 : 1,507.80 = 738.96 : x
  2. Step 2: Convert to fraction form
    1,092.72/1,507.80 = 738.96/x
  3. Step 3: Cross multiply
    1,092.72x = 1,507.80 × 738.96
  4. Step 4: Simplify right side
    1,092.72x = 1,114,203.89
  5. Step 5: Solve for x
    x = 1,114,203.89/1,092.72
  6. Step 6: Final answer
    x = 1,019.66

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