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Finding the Fourth Proportional to 1,705.17, 2,558 and 826.96

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Solution

The fourth proportional to 1,705.17, 2,558 and 826.96 is: 1,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.17 : 2,558 = 826.96 : x
  2. Step 2: Convert to fraction form
    1,705.17/2,558 = 826.96/x
  3. Step 3: Cross multiply
    1,705.17x = 2,558 × 826.96
  4. Step 4: Simplify right side
    1,705.17x = 2,115,350.89
  5. Step 5: Solve for x
    x = 2,115,350.89/1,705.17
  6. Step 6: Final answer
    x = 1,240.55

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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.