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Finding the Fourth Proportional to 683.46, 1,024.14 and 357.84

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Solution

The fourth proportional to 683.46, 1,024.14 and 357.84 is: 536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.46 : 1,024.14 = 357.84 : x
  2. Step 2: Convert to fraction form
    683.46/1,024.14 = 357.84/x
  3. Step 3: Cross multiply
    683.46x = 1,024.14 × 357.84
  4. Step 4: Simplify right side
    683.46x = 366,478.26
  5. Step 5: Solve for x
    x = 366,478.26/683.46
  6. Step 6: Final answer
    x = 536.21

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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.