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Finding the Fourth Proportional to 1,782.89, 2,674.34 and 484.35

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Solution

The fourth proportional to 1,782.89, 2,674.34 and 484.35 is: 726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.89 : 2,674.34 = 484.35 : x
  2. Step 2: Convert to fraction form
    1,782.89/2,674.34 = 484.35/x
  3. Step 3: Cross multiply
    1,782.89x = 2,674.34 × 484.35
  4. Step 4: Simplify right side
    1,782.89x = 1,295,314.16
  5. Step 5: Solve for x
    x = 1,295,314.16/1,782.89
  6. Step 6: Final answer
    x = 726.53

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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.