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Finding the Fourth Proportional to 1,707.18, 2,560.91 and 733.04

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Solution

The fourth proportional to 1,707.18, 2,560.91 and 733.04 is: 1,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.18 : 2,560.91 = 733.04 : x
  2. Step 2: Convert to fraction form
    1,707.18/2,560.91 = 733.04/x
  3. Step 3: Cross multiply
    1,707.18x = 2,560.91 × 733.04
  4. Step 4: Simplify right side
    1,707.18x = 1,877,233.00
  5. Step 5: Solve for x
    x = 1,877,233.00/1,707.18
  6. Step 6: Final answer
    x = 1,099.61

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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.