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Finding the Fourth Proportional to 1,091.00, 1,505.61 and 593.66

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Solution

The fourth proportional to 1,091.00, 1,505.61 and 593.66 is: 819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.00 : 1,505.61 = 593.66 : x
  2. Step 2: Convert to fraction form
    1,091.00/1,505.61 = 593.66/x
  3. Step 3: Cross multiply
    1,091.00x = 1,505.61 × 593.66
  4. Step 4: Simplify right side
    1,091.00x = 893,825.87
  5. Step 5: Solve for x
    x = 893,825.87/1,091.00
  6. Step 6: Final answer
    x = 819.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.