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Finding the Fourth Proportional to 860.12, 1,192.46 and 830.06

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Solution

The fourth proportional to 860.12, 1,192.46 and 830.06 is: 1,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.12 : 1,192.46 = 830.06 : x
  2. Step 2: Convert to fraction form
    860.12/1,192.46 = 830.06/x
  3. Step 3: Cross multiply
    860.12x = 1,192.46 × 830.06
  4. Step 4: Simplify right side
    860.12x = 989,813.35
  5. Step 5: Solve for x
    x = 989,813.35/860.12
  6. Step 6: Final answer
    x = 1,150.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.