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Finding the Fourth Proportional to 1,060.78, 1,589.54 and 444.15

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Solution

The fourth proportional to 1,060.78, 1,589.54 and 444.15 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.78 : 1,589.54 = 444.15 : x
  2. Step 2: Convert to fraction form
    1,060.78/1,589.54 = 444.15/x
  3. Step 3: Cross multiply
    1,060.78x = 1,589.54 × 444.15
  4. Step 4: Simplify right side
    1,060.78x = 705,987.76
  5. Step 5: Solve for x
    x = 705,987.76/1,060.78
  6. Step 6: Final answer
    x = 665.54

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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.