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Finding the Fourth Proportional to 1,085.05, 1,626.04 and 563.77

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Solution

The fourth proportional to 1,085.05, 1,626.04 and 563.77 is: 844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.05 : 1,626.04 = 563.77 : x
  2. Step 2: Convert to fraction form
    1,085.05/1,626.04 = 563.77/x
  3. Step 3: Cross multiply
    1,085.05x = 1,626.04 × 563.77
  4. Step 4: Simplify right side
    1,085.05x = 916,709.21
  5. Step 5: Solve for x
    x = 916,709.21/1,085.05
  6. Step 6: Final answer
    x = 844.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.