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Finding the Fourth Proportional to 1,060.34, 1,589.36 and 444.38

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Solution

The fourth proportional to 1,060.34, 1,589.36 and 444.38 is: 666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.34 : 1,589.36 = 444.38 : x
  2. Step 2: Convert to fraction form
    1,060.34/1,589.36 = 444.38/x
  3. Step 3: Cross multiply
    1,060.34x = 1,589.36 × 444.38
  4. Step 4: Simplify right side
    1,060.34x = 706,269.63
  5. Step 5: Solve for x
    x = 706,269.63/1,060.34
  6. Step 6: Final answer
    x = 666.08

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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.