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Finding the Fourth Proportional to 1,091.00, 1,505.59 and 593.65

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Solution

The fourth proportional to 1,091.00, 1,505.59 and 593.65 is: 819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.00 : 1,505.59 = 593.65 : x
  2. Step 2: Convert to fraction form
    1,091.00/1,505.59 = 593.65/x
  3. Step 3: Cross multiply
    1,091.00x = 1,505.59 × 593.65
  4. Step 4: Simplify right side
    1,091.00x = 893,785.98
  5. Step 5: Solve for x
    x = 893,785.98/1,091.00
  6. Step 6: Final answer
    x = 819.24

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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.