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Finding the Fourth Proportional to 1,039.39, 1,434.31 and 596.98

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Solution

The fourth proportional to 1,039.39, 1,434.31 and 596.98 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.39 : 1,434.31 = 596.98 : x
  2. Step 2: Convert to fraction form
    1,039.39/1,434.31 = 596.98/x
  3. Step 3: Cross multiply
    1,039.39x = 1,434.31 × 596.98
  4. Step 4: Simplify right side
    1,039.39x = 856,254.38
  5. Step 5: Solve for x
    x = 856,254.38/1,039.39
  6. Step 6: Final answer
    x = 823.80

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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.