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Finding the Fourth Proportional to 1,725.17, 2,588.81 and 685.67

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Solution

The fourth proportional to 1,725.17, 2,588.81 and 685.67 is: 1,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.17 : 2,588.81 = 685.67 : x
  2. Step 2: Convert to fraction form
    1,725.17/2,588.81 = 685.67/x
  3. Step 3: Cross multiply
    1,725.17x = 2,588.81 × 685.67
  4. Step 4: Simplify right side
    1,725.17x = 1,775,052.98
  5. Step 5: Solve for x
    x = 1,775,052.98/1,725.17
  6. Step 6: Final answer
    x = 1,028.92

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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.