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Finding the Fourth Proportional to 1,092.52, 1,507.67 and 595.16

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Solution

The fourth proportional to 1,092.52, 1,507.67 and 595.16 is: 821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.52 : 1,507.67 = 595.16 : x
  2. Step 2: Convert to fraction form
    1,092.52/1,507.67 = 595.16/x
  3. Step 3: Cross multiply
    1,092.52x = 1,507.67 × 595.16
  4. Step 4: Simplify right side
    1,092.52x = 897,299.68
  5. Step 5: Solve for x
    x = 897,299.68/1,092.52
  6. Step 6: Final answer
    x = 821.31

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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.