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Finding the Fourth Proportional to 890.58, 1,222.46 and 790.14

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Solution

The fourth proportional to 890.58, 1,222.46 and 790.14 is: 1,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,222.46 = 790.14 : x
  2. Step 2: Convert to fraction form
    890.58/1,222.46 = 790.14/x
  3. Step 3: Cross multiply
    890.58x = 1,222.46 × 790.14
  4. Step 4: Simplify right side
    890.58x = 965,914.54
  5. Step 5: Solve for x
    x = 965,914.54/890.58
  6. Step 6: Final answer
    x = 1,084.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.