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Finding the Fourth Proportional to 1,009.86, 1,514.82 and 523.86

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Solution

The fourth proportional to 1,009.86, 1,514.82 and 523.86 is: 785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.86 : 1,514.82 = 523.86 : x
  2. Step 2: Convert to fraction form
    1,009.86/1,514.82 = 523.86/x
  3. Step 3: Cross multiply
    1,009.86x = 1,514.82 × 523.86
  4. Step 4: Simplify right side
    1,009.86x = 793,553.61
  5. Step 5: Solve for x
    x = 793,553.61/1,009.86
  6. Step 6: Final answer
    x = 785.81

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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.