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Finding the Fourth Proportional to 1,771.82, 2,657.80 and 473.26

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Solution

The fourth proportional to 1,771.82, 2,657.80 and 473.26 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.82 : 2,657.80 = 473.26 : x
  2. Step 2: Convert to fraction form
    1,771.82/2,657.80 = 473.26/x
  3. Step 3: Cross multiply
    1,771.82x = 2,657.80 × 473.26
  4. Step 4: Simplify right side
    1,771.82x = 1,257,830.43
  5. Step 5: Solve for x
    x = 1,257,830.43/1,771.82
  6. Step 6: Final answer
    x = 709.91

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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.