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Finding the Fourth Proportional to 696.86, 1,044.37 and 522.15

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Solution

The fourth proportional to 696.86, 1,044.37 and 522.15 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 1,044.37 = 522.15 : x
  2. Step 2: Convert to fraction form
    696.86/1,044.37 = 522.15/x
  3. Step 3: Cross multiply
    696.86x = 1,044.37 × 522.15
  4. Step 4: Simplify right side
    696.86x = 545,316.49
  5. Step 5: Solve for x
    x = 545,316.49/696.86
  6. Step 6: Final answer
    x = 782.54

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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.