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Finding the Fourth Proportional to 1,026.69, 1,539.36 and 442.05

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Solution

The fourth proportional to 1,026.69, 1,539.36 and 442.05 is: 662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.69 : 1,539.36 = 442.05 : x
  2. Step 2: Convert to fraction form
    1,026.69/1,539.36 = 442.05/x
  3. Step 3: Cross multiply
    1,026.69x = 1,539.36 × 442.05
  4. Step 4: Simplify right side
    1,026.69x = 680,474.09
  5. Step 5: Solve for x
    x = 680,474.09/1,026.69
  6. Step 6: Final answer
    x = 662.78

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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.