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Finding the Fourth Proportional to 1,060.75, 1,591.41 and 444.13

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Solution

The fourth proportional to 1,060.75, 1,591.41 and 444.13 is: 666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,591.41 = 444.13 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,591.41 = 444.13/x
  3. Step 3: Cross multiply
    1,060.75x = 1,591.41 × 444.13
  4. Step 4: Simplify right side
    1,060.75x = 706,782.75
  5. Step 5: Solve for x
    x = 706,782.75/1,060.75
  6. Step 6: Final answer
    x = 666.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.