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Finding the Fourth Proportional to 1,100.61, 1,650.92 and 523.89

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Solution

The fourth proportional to 1,100.61, 1,650.92 and 523.89 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.61 : 1,650.92 = 523.89 : x
  2. Step 2: Convert to fraction form
    1,100.61/1,650.92 = 523.89/x
  3. Step 3: Cross multiply
    1,100.61x = 1,650.92 × 523.89
  4. Step 4: Simplify right side
    1,100.61x = 864,897.86
  5. Step 5: Solve for x
    x = 864,897.86/1,100.61
  6. Step 6: Final answer
    x = 785.84

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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.