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Finding the Fourth Proportional to 1,026.17, 1,539.26 and 295.75

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Solution

The fourth proportional to 1,026.17, 1,539.26 and 295.75 is: 443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.17 : 1,539.26 = 295.75 : x
  2. Step 2: Convert to fraction form
    1,026.17/1,539.26 = 295.75/x
  3. Step 3: Cross multiply
    1,026.17x = 1,539.26 × 295.75
  4. Step 4: Simplify right side
    1,026.17x = 455,236.15
  5. Step 5: Solve for x
    x = 455,236.15/1,026.17
  6. Step 6: Final answer
    x = 443.63

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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.