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Finding the Fourth Proportional to 683.58, 1,024.56 and 522.12

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Solution

The fourth proportional to 683.58, 1,024.56 and 522.12 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.58 : 1,024.56 = 522.12 : x
  2. Step 2: Convert to fraction form
    683.58/1,024.56 = 522.12/x
  3. Step 3: Cross multiply
    683.58x = 1,024.56 × 522.12
  4. Step 4: Simplify right side
    683.58x = 534,943.27
  5. Step 5: Solve for x
    x = 534,943.27/683.58
  6. Step 6: Final answer
    x = 782.56

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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.