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Finding the Fourth Proportional to 683.86, 1,024.98 and 359.05

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Solution

The fourth proportional to 683.86, 1,024.98 and 359.05 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,024.98 = 359.05 : x
  2. Step 2: Convert to fraction form
    683.86/1,024.98 = 359.05/x
  3. Step 3: Cross multiply
    683.86x = 1,024.98 × 359.05
  4. Step 4: Simplify right side
    683.86x = 368,019.07
  5. Step 5: Solve for x
    x = 368,019.07/683.86
  6. Step 6: Final answer
    x = 538.15

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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.