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Finding the Fourth Proportional to 1,771.47, 2,657.27 and 472.94

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Solution

The fourth proportional to 1,771.47, 2,657.27 and 472.94 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.47 : 2,657.27 = 472.94 : x
  2. Step 2: Convert to fraction form
    1,771.47/2,657.27 = 472.94/x
  3. Step 3: Cross multiply
    1,771.47x = 2,657.27 × 472.94
  4. Step 4: Simplify right side
    1,771.47x = 1,256,727.13
  5. Step 5: Solve for x
    x = 1,256,727.13/1,771.47
  6. Step 6: Final answer
    x = 709.43

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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.