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Finding the Fourth Proportional to 1,709.73, 2,564.90 and 614.73

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Solution

The fourth proportional to 1,709.73, 2,564.90 and 614.73 is: 922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.73 : 2,564.90 = 614.73 : x
  2. Step 2: Convert to fraction form
    1,709.73/2,564.90 = 614.73/x
  3. Step 3: Cross multiply
    1,709.73x = 2,564.90 × 614.73
  4. Step 4: Simplify right side
    1,709.73x = 1,576,720.98
  5. Step 5: Solve for x
    x = 1,576,720.98/1,709.73
  6. Step 6: Final answer
    x = 922.20

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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.