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Finding the Fourth Proportional to 1,785.11, 2,677.66 and 486.61

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Solution

The fourth proportional to 1,785.11, 2,677.66 and 486.61 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.11 : 2,677.66 = 486.61 : x
  2. Step 2: Convert to fraction form
    1,785.11/2,677.66 = 486.61/x
  3. Step 3: Cross multiply
    1,785.11x = 2,677.66 × 486.61
  4. Step 4: Simplify right side
    1,785.11x = 1,302,968.22
  5. Step 5: Solve for x
    x = 1,302,968.22/1,785.11
  6. Step 6: Final answer
    x = 729.91

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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.