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Finding the Fourth Proportional to 1,092.68, 1,507.87 and 595.31

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Solution

The fourth proportional to 1,092.68, 1,507.87 and 595.31 is: 821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.68 : 1,507.87 = 595.31 : x
  2. Step 2: Convert to fraction form
    1,092.68/1,507.87 = 595.31/x
  3. Step 3: Cross multiply
    1,092.68x = 1,507.87 × 595.31
  4. Step 4: Simplify right side
    1,092.68x = 897,650.09
  5. Step 5: Solve for x
    x = 897,650.09/1,092.68
  6. Step 6: Final answer
    x = 821.51

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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.