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Finding the Fourth Proportional to 1,092.41, 1,507.49 and 595.05

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Solution

The fourth proportional to 1,092.41, 1,507.49 and 595.05 is: 821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.41 : 1,507.49 = 595.05 : x
  2. Step 2: Convert to fraction form
    1,092.41/1,507.49 = 595.05/x
  3. Step 3: Cross multiply
    1,092.41x = 1,507.49 × 595.05
  4. Step 4: Simplify right side
    1,092.41x = 897,023.85
  5. Step 5: Solve for x
    x = 897,023.85/1,092.41
  6. Step 6: Final answer
    x = 821.14

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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.