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Finding the Fourth Proportional to 1,092.23, 1,507.31 and 620.13

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Solution

The fourth proportional to 1,092.23, 1,507.31 and 620.13 is: 855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.23 : 1,507.31 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,092.23/1,507.31 = 620.13/x
  3. Step 3: Cross multiply
    1,092.23x = 1,507.31 × 620.13
  4. Step 4: Simplify right side
    1,092.23x = 934,728.15
  5. Step 5: Solve for x
    x = 934,728.15/1,092.23
  6. Step 6: Final answer
    x = 855.80

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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.