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Finding the Fourth Proportional to 1,784.75, 2,677.13 and 486.22

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Solution

The fourth proportional to 1,784.75, 2,677.13 and 486.22 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.75 : 2,677.13 = 486.22 : x
  2. Step 2: Convert to fraction form
    1,784.75/2,677.13 = 486.22/x
  3. Step 3: Cross multiply
    1,784.75x = 2,677.13 × 486.22
  4. Step 4: Simplify right side
    1,784.75x = 1,301,669.28
  5. Step 5: Solve for x
    x = 1,301,669.28/1,784.75
  6. Step 6: Final answer
    x = 729.33

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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.