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Finding the Fourth Proportional to 683.03, 1,024.73 and 250.13

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Solution

The fourth proportional to 683.03, 1,024.73 and 250.13 is: 375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.03 : 1,024.73 = 250.13 : x
  2. Step 2: Convert to fraction form
    683.03/1,024.73 = 250.13/x
  3. Step 3: Cross multiply
    683.03x = 1,024.73 × 250.13
  4. Step 4: Simplify right side
    683.03x = 256,315.71
  5. Step 5: Solve for x
    x = 256,315.71/683.03
  6. Step 6: Final answer
    x = 375.26

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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.