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Finding the Fourth Proportional to 1,352.37, 2,027.74 and 658.34

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Solution

The fourth proportional to 1,352.37, 2,027.74 and 658.34 is: 987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.37 : 2,027.74 = 658.34 : x
  2. Step 2: Convert to fraction form
    1,352.37/2,027.74 = 658.34/x
  3. Step 3: Cross multiply
    1,352.37x = 2,027.74 × 658.34
  4. Step 4: Simplify right side
    1,352.37x = 1,334,939.06
  5. Step 5: Solve for x
    x = 1,334,939.06/1,352.37
  6. Step 6: Final answer
    x = 987.11

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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.