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Finding the Fourth Proportional to 1,709.26, 2,564.04 and 735.13

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Solution

The fourth proportional to 1,709.26, 2,564.04 and 735.13 is: 1,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.26 : 2,564.04 = 735.13 : x
  2. Step 2: Convert to fraction form
    1,709.26/2,564.04 = 735.13/x
  3. Step 3: Cross multiply
    1,709.26x = 2,564.04 × 735.13
  4. Step 4: Simplify right side
    1,709.26x = 1,884,889.91
  5. Step 5: Solve for x
    x = 1,884,889.91/1,709.26
  6. Step 6: Final answer
    x = 1,102.76

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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.