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Finding the Fourth Proportional to 1,054.82, 1,581.73 and 644.15

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Solution

The fourth proportional to 1,054.82, 1,581.73 and 644.15 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.82 : 1,581.73 = 644.15 : x
  2. Step 2: Convert to fraction form
    1,054.82/1,581.73 = 644.15/x
  3. Step 3: Cross multiply
    1,054.82x = 1,581.73 × 644.15
  4. Step 4: Simplify right side
    1,054.82x = 1,018,873.72
  5. Step 5: Solve for x
    x = 1,018,873.72/1,054.82
  6. Step 6: Final answer
    x = 965.92

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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.