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Finding the Fourth Proportional to 1,771.54, 2,657.34 and 473.02

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Solution

The fourth proportional to 1,771.54, 2,657.34 and 473.02 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.54 : 2,657.34 = 473.02 : x
  2. Step 2: Convert to fraction form
    1,771.54/2,657.34 = 473.02/x
  3. Step 3: Cross multiply
    1,771.54x = 2,657.34 × 473.02
  4. Step 4: Simplify right side
    1,771.54x = 1,256,974.97
  5. Step 5: Solve for x
    x = 1,256,974.97/1,771.54
  6. Step 6: Final answer
    x = 709.54

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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.