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Finding the Fourth Proportional to 1,062.47, 1,591.41 and 945.61

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Solution

The fourth proportional to 1,062.47, 1,591.41 and 945.61 is: 1,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.47 : 1,591.41 = 945.61 : x
  2. Step 2: Convert to fraction form
    1,062.47/1,591.41 = 945.61/x
  3. Step 3: Cross multiply
    1,062.47x = 1,591.41 × 945.61
  4. Step 4: Simplify right side
    1,062.47x = 1,504,853.21
  5. Step 5: Solve for x
    x = 1,504,853.21/1,062.47
  6. Step 6: Final answer
    x = 1,416.37

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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.