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Finding the Fourth Proportional to 683.47, 1,024.73 and 359.07

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Solution

The fourth proportional to 683.47, 1,024.73 and 359.07 is: 538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,024.73 = 359.07 : x
  2. Step 2: Convert to fraction form
    683.47/1,024.73 = 359.07/x
  3. Step 3: Cross multiply
    683.47x = 1,024.73 × 359.07
  4. Step 4: Simplify right side
    683.47x = 367,949.80
  5. Step 5: Solve for x
    x = 367,949.80/683.47
  6. Step 6: Final answer
    x = 538.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.