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Finding the Fourth Proportional to 1,771.64, 2,657.25 and 473.21

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Solution

The fourth proportional to 1,771.64, 2,657.25 and 473.21 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.64 : 2,657.25 = 473.21 : x
  2. Step 2: Convert to fraction form
    1,771.64/2,657.25 = 473.21/x
  3. Step 3: Cross multiply
    1,771.64x = 2,657.25 × 473.21
  4. Step 4: Simplify right side
    1,771.64x = 1,257,421.62
  5. Step 5: Solve for x
    x = 1,257,421.62/1,771.64
  6. Step 6: Final answer
    x = 709.75

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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.