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Finding the Fourth Proportional to 1,009.60, 1,514.44 and 523.60

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Solution

The fourth proportional to 1,009.60, 1,514.44 and 523.60 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.60 : 1,514.44 = 523.60 : x
  2. Step 2: Convert to fraction form
    1,009.60/1,514.44 = 523.60/x
  3. Step 3: Cross multiply
    1,009.60x = 1,514.44 × 523.60
  4. Step 4: Simplify right side
    1,009.60x = 792,960.78
  5. Step 5: Solve for x
    x = 792,960.78/1,009.60
  6. Step 6: Final answer
    x = 785.42

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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.