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Finding the Fourth Proportional to 1,092.54, 1,507.46 and 650.14

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Solution

The fourth proportional to 1,092.54, 1,507.46 and 650.14 is: 897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.54 : 1,507.46 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,092.54/1,507.46 = 650.14/x
  3. Step 3: Cross multiply
    1,092.54x = 1,507.46 × 650.14
  4. Step 4: Simplify right side
    1,092.54x = 980,060.04
  5. Step 5: Solve for x
    x = 980,060.04/1,092.54
  6. Step 6: Final answer
    x = 897.05

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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.