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Finding the Fourth Proportional to 1,772.69, 2,659.23 and 474.26

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Solution

The fourth proportional to 1,772.69, 2,659.23 and 474.26 is: 711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.69 : 2,659.23 = 474.26 : x
  2. Step 2: Convert to fraction form
    1,772.69/2,659.23 = 474.26/x
  3. Step 3: Cross multiply
    1,772.69x = 2,659.23 × 474.26
  4. Step 4: Simplify right side
    1,772.69x = 1,261,153.12
  5. Step 5: Solve for x
    x = 1,261,153.12/1,772.69
  6. Step 6: Final answer
    x = 711.44

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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.