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Finding the Fourth Proportional to 1,091.24, 1,505.90 and 593.90

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Solution

The fourth proportional to 1,091.24, 1,505.90 and 593.90 is: 819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.24 : 1,505.90 = 593.90 : x
  2. Step 2: Convert to fraction form
    1,091.24/1,505.90 = 593.90/x
  3. Step 3: Cross multiply
    1,091.24x = 1,505.90 × 593.90
  4. Step 4: Simplify right side
    1,091.24x = 894,354.01
  5. Step 5: Solve for x
    x = 894,354.01/1,091.24
  6. Step 6: Final answer
    x = 819.58

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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.