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Finding the Fourth Proportional to 1,771.23, 2,656.94 and 601.37

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Solution

The fourth proportional to 1,771.23, 2,656.94 and 601.37 is: 902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.23 : 2,656.94 = 601.37 : x
  2. Step 2: Convert to fraction form
    1,771.23/2,656.94 = 601.37/x
  3. Step 3: Cross multiply
    1,771.23x = 2,656.94 × 601.37
  4. Step 4: Simplify right side
    1,771.23x = 1,597,787.72
  5. Step 5: Solve for x
    x = 1,597,787.72/1,771.23
  6. Step 6: Final answer
    x = 902.08

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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.