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Finding the Fourth Proportional to 1,039.36, 1,558.98 and 269.86

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Solution

The fourth proportional to 1,039.36, 1,558.98 and 269.86 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.36 : 1,558.98 = 269.86 : x
  2. Step 2: Convert to fraction form
    1,039.36/1,558.98 = 269.86/x
  3. Step 3: Cross multiply
    1,039.36x = 1,558.98 × 269.86
  4. Step 4: Simplify right side
    1,039.36x = 420,706.34
  5. Step 5: Solve for x
    x = 420,706.34/1,039.36
  6. Step 6: Final answer
    x = 404.77

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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.