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Finding the Fourth Proportional to 1,705.79, 2,558.70 and 731.90

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Solution

The fourth proportional to 1,705.79, 2,558.70 and 731.90 is: 1,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.79 : 2,558.70 = 731.90 : x
  2. Step 2: Convert to fraction form
    1,705.79/2,558.70 = 731.90/x
  3. Step 3: Cross multiply
    1,705.79x = 2,558.70 × 731.90
  4. Step 4: Simplify right side
    1,705.79x = 1,872,718.93
  5. Step 5: Solve for x
    x = 1,872,718.93/1,705.79
  6. Step 6: Final answer
    x = 1,097.86

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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.