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Finding the Fourth Proportional to 1,785.56, 2,678.12 and 785.33

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Solution

The fourth proportional to 1,785.56, 2,678.12 and 785.33 is: 1,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.56 : 2,678.12 = 785.33 : x
  2. Step 2: Convert to fraction form
    1,785.56/2,678.12 = 785.33/x
  3. Step 3: Cross multiply
    1,785.56x = 2,678.12 × 785.33
  4. Step 4: Simplify right side
    1,785.56x = 2,103,207.98
  5. Step 5: Solve for x
    x = 2,103,207.98/1,785.56
  6. Step 6: Final answer
    x = 1,177.90

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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.