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Finding the Fourth Proportional to 1,039.44, 1,434.40 and 591.28

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Solution

The fourth proportional to 1,039.44, 1,434.40 and 591.28 is: 815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.44 : 1,434.40 = 591.28 : x
  2. Step 2: Convert to fraction form
    1,039.44/1,434.40 = 591.28/x
  3. Step 3: Cross multiply
    1,039.44x = 1,434.40 × 591.28
  4. Step 4: Simplify right side
    1,039.44x = 848,124.86
  5. Step 5: Solve for x
    x = 848,124.86/1,039.44
  6. Step 6: Final answer
    x = 815.94

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