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Finding the Fourth Proportional to 1,099.65, 1,652.85 and 736.77

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Solution

The fourth proportional to 1,099.65, 1,652.85 and 736.77 is: 1,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.65 : 1,652.85 = 736.77 : x
  2. Step 2: Convert to fraction form
    1,099.65/1,652.85 = 736.77/x
  3. Step 3: Cross multiply
    1,099.65x = 1,652.85 × 736.77
  4. Step 4: Simplify right side
    1,099.65x = 1,217,770.29
  5. Step 5: Solve for x
    x = 1,217,770.29/1,099.65
  6. Step 6: Final answer
    x = 1,107.42

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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.