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Finding the Fourth Proportional to 1,782.23, 2,673.48 and 483.68

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Solution

The fourth proportional to 1,782.23, 2,673.48 and 483.68 is: 725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.23 : 2,673.48 = 483.68 : x
  2. Step 2: Convert to fraction form
    1,782.23/2,673.48 = 483.68/x
  3. Step 3: Cross multiply
    1,782.23x = 2,673.48 × 483.68
  4. Step 4: Simplify right side
    1,782.23x = 1,293,108.81
  5. Step 5: Solve for x
    x = 1,293,108.81/1,782.23
  6. Step 6: Final answer
    x = 725.56

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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.