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Finding the Fourth Proportional to 1,044.14, 1,564.99 and 523.86

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Solution

The fourth proportional to 1,044.14, 1,564.99 and 523.86 is: 785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.14 : 1,564.99 = 523.86 : x
  2. Step 2: Convert to fraction form
    1,044.14/1,564.99 = 523.86/x
  3. Step 3: Cross multiply
    1,044.14x = 1,564.99 × 523.86
  4. Step 4: Simplify right side
    1,044.14x = 819,835.66
  5. Step 5: Solve for x
    x = 819,835.66/1,044.14
  6. Step 6: Final answer
    x = 785.18

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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.