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Finding the Fourth Proportional to 1,108.89, 1,530.36 and 611.63

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Solution

The fourth proportional to 1,108.89, 1,530.36 and 611.63 is: 844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.89 : 1,530.36 = 611.63 : x
  2. Step 2: Convert to fraction form
    1,108.89/1,530.36 = 611.63/x
  3. Step 3: Cross multiply
    1,108.89x = 1,530.36 × 611.63
  4. Step 4: Simplify right side
    1,108.89x = 936,019.44
  5. Step 5: Solve for x
    x = 936,019.44/1,108.89
  6. Step 6: Final answer
    x = 844.10

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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.