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Finding the Fourth Proportional to 1,039.11, 1,434.06 and 591.12

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Solution

The fourth proportional to 1,039.11, 1,434.06 and 591.12 is: 815.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.11 : 1,434.06 = 591.12 : x
  2. Step 2: Convert to fraction form
    1,039.11/1,434.06 = 591.12/x
  3. Step 3: Cross multiply
    1,039.11x = 1,434.06 × 591.12
  4. Step 4: Simplify right side
    1,039.11x = 847,704.24
  5. Step 5: Solve for x
    x = 847,704.24/1,039.11
  6. Step 6: Final answer
    x = 815.80

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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.