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Finding the Fourth Proportional to 1,092.66, 1,507.90 and 650.80

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Solution

The fourth proportional to 1,092.66, 1,507.90 and 650.80 is: 898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.66 : 1,507.90 = 650.80 : x
  2. Step 2: Convert to fraction form
    1,092.66/1,507.90 = 650.80/x
  3. Step 3: Cross multiply
    1,092.66x = 1,507.90 × 650.80
  4. Step 4: Simplify right side
    1,092.66x = 981,341.32
  5. Step 5: Solve for x
    x = 981,341.32/1,092.66
  6. Step 6: Final answer
    x = 898.12

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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.