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Finding the Fourth Proportional to 1,705.34, 2,558.01 and 551.18

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Solution

The fourth proportional to 1,705.34, 2,558.01 and 551.18 is: 826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.34 : 2,558.01 = 551.18 : x
  2. Step 2: Convert to fraction form
    1,705.34/2,558.01 = 551.18/x
  3. Step 3: Cross multiply
    1,705.34x = 2,558.01 × 551.18
  4. Step 4: Simplify right side
    1,705.34x = 1,409,923.95
  5. Step 5: Solve for x
    x = 1,409,923.95/1,705.34
  6. Step 6: Final answer
    x = 826.77

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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.