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Finding the Fourth Proportional to 683.19, 1,024.10 and 272.07

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Solution

The fourth proportional to 683.19, 1,024.10 and 272.07 is: 407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.19 : 1,024.10 = 272.07 : x
  2. Step 2: Convert to fraction form
    683.19/1,024.10 = 272.07/x
  3. Step 3: Cross multiply
    683.19x = 1,024.10 × 272.07
  4. Step 4: Simplify right side
    683.19x = 278,626.89
  5. Step 5: Solve for x
    x = 278,626.89/683.19
  6. Step 6: Final answer
    x = 407.83

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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.