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Finding the Fourth Proportional to 1,026.89, 1,540.59 and 441.95

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Solution

The fourth proportional to 1,026.89, 1,540.59 and 441.95 is: 663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.89 : 1,540.59 = 441.95 : x
  2. Step 2: Convert to fraction form
    1,026.89/1,540.59 = 441.95/x
  3. Step 3: Cross multiply
    1,026.89x = 1,540.59 × 441.95
  4. Step 4: Simplify right side
    1,026.89x = 680,856.05
  5. Step 5: Solve for x
    x = 680,856.05/1,026.89
  6. Step 6: Final answer
    x = 663.03

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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.