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Finding the Fourth Proportional to 1,709.73, 2,563.14 and 735.69

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Solution

The fourth proportional to 1,709.73, 2,563.14 and 735.69 is: 1,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.73 : 2,563.14 = 735.69 : x
  2. Step 2: Convert to fraction form
    1,709.73/2,563.14 = 735.69/x
  3. Step 3: Cross multiply
    1,709.73x = 2,563.14 × 735.69
  4. Step 4: Simplify right side
    1,709.73x = 1,885,676.47
  5. Step 5: Solve for x
    x = 1,885,676.47/1,709.73
  6. Step 6: Final answer
    x = 1,102.91

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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.