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Finding the Fourth Proportional to 1,705.77, 2,559.38 and 718.83

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Solution

The fourth proportional to 1,705.77, 2,559.38 and 718.83 is: 1,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.77 : 2,559.38 = 718.83 : x
  2. Step 2: Convert to fraction form
    1,705.77/2,559.38 = 718.83/x
  3. Step 3: Cross multiply
    1,705.77x = 2,559.38 × 718.83
  4. Step 4: Simplify right side
    1,705.77x = 1,839,755.53
  5. Step 5: Solve for x
    x = 1,839,755.53/1,705.77
  6. Step 6: Final answer
    x = 1,078.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.