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Finding the Fourth Proportional to 1,749.80, 2,623.08 and 653.33

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Solution

The fourth proportional to 1,749.80, 2,623.08 and 653.33 is: 979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.80 : 2,623.08 = 653.33 : x
  2. Step 2: Convert to fraction form
    1,749.80/2,623.08 = 653.33/x
  3. Step 3: Cross multiply
    1,749.80x = 2,623.08 × 653.33
  4. Step 4: Simplify right side
    1,749.80x = 1,713,745.86
  5. Step 5: Solve for x
    x = 1,713,745.86/1,749.80
  6. Step 6: Final answer
    x = 979.39

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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.