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Finding the Fourth Proportional to 1,039.05, 1,433.85 and 596.91

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Solution

The fourth proportional to 1,039.05, 1,433.85 and 596.91 is: 823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.05 : 1,433.85 = 596.91 : x
  2. Step 2: Convert to fraction form
    1,039.05/1,433.85 = 596.91/x
  3. Step 3: Cross multiply
    1,039.05x = 1,433.85 × 596.91
  4. Step 4: Simplify right side
    1,039.05x = 855,879.40
  5. Step 5: Solve for x
    x = 855,879.40/1,039.05
  6. Step 6: Final answer
    x = 823.71

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Why These Related Problems?

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