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Finding the Fourth Proportional to 1,771.42, 2,657.16 and 472.88

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Solution

The fourth proportional to 1,771.42, 2,657.16 and 472.88 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.42 : 2,657.16 = 472.88 : x
  2. Step 2: Convert to fraction form
    1,771.42/2,657.16 = 472.88/x
  3. Step 3: Cross multiply
    1,771.42x = 2,657.16 × 472.88
  4. Step 4: Simplify right side
    1,771.42x = 1,256,504.54
  5. Step 5: Solve for x
    x = 1,256,504.54/1,771.42
  6. Step 6: Final answer
    x = 709.32

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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.