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Finding the Fourth Proportional to 1,030.85, 1,422.23 and 611.33

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Solution

The fourth proportional to 1,030.85, 1,422.23 and 611.33 is: 843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.85 : 1,422.23 = 611.33 : x
  2. Step 2: Convert to fraction form
    1,030.85/1,422.23 = 611.33/x
  3. Step 3: Cross multiply
    1,030.85x = 1,422.23 × 611.33
  4. Step 4: Simplify right side
    1,030.85x = 869,460.86
  5. Step 5: Solve for x
    x = 869,460.86/1,030.85
  6. Step 6: Final answer
    x = 843.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.