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Finding the Fourth Proportional to 1,060.02, 1,589.43 and 329.46

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Solution

The fourth proportional to 1,060.02, 1,589.43 and 329.46 is: 494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.02 : 1,589.43 = 329.46 : x
  2. Step 2: Convert to fraction form
    1,060.02/1,589.43 = 329.46/x
  3. Step 3: Cross multiply
    1,060.02x = 1,589.43 × 329.46
  4. Step 4: Simplify right side
    1,060.02x = 523,653.61
  5. Step 5: Solve for x
    x = 523,653.61/1,060.02
  6. Step 6: Final answer
    x = 494.00

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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.