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Finding the Fourth Proportional to 1,092.69, 1,507.29 and 650.73

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Solution

The fourth proportional to 1,092.69, 1,507.29 and 650.73 is: 897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.69 : 1,507.29 = 650.73 : x
  2. Step 2: Convert to fraction form
    1,092.69/1,507.29 = 650.73/x
  3. Step 3: Cross multiply
    1,092.69x = 1,507.29 × 650.73
  4. Step 4: Simplify right side
    1,092.69x = 980,838.82
  5. Step 5: Solve for x
    x = 980,838.82/1,092.69
  6. Step 6: Final answer
    x = 897.64

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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.