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Finding the Fourth Proportional to 1,764.75, 2,647.14 and 610.50

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Solution

The fourth proportional to 1,764.75, 2,647.14 and 610.50 is: 915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.75 : 2,647.14 = 610.50 : x
  2. Step 2: Convert to fraction form
    1,764.75/2,647.14 = 610.50/x
  3. Step 3: Cross multiply
    1,764.75x = 2,647.14 × 610.50
  4. Step 4: Simplify right side
    1,764.75x = 1,616,078.97
  5. Step 5: Solve for x
    x = 1,616,078.97/1,764.75
  6. Step 6: Final answer
    x = 915.76

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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.