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Finding the Fourth Proportional to 683.06, 1,026.66 and 452.74

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Solution

The fourth proportional to 683.06, 1,026.66 and 452.74 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.06 : 1,026.66 = 452.74 : x
  2. Step 2: Convert to fraction form
    683.06/1,026.66 = 452.74/x
  3. Step 3: Cross multiply
    683.06x = 1,026.66 × 452.74
  4. Step 4: Simplify right side
    683.06x = 464,810.05
  5. Step 5: Solve for x
    x = 464,810.05/683.06
  6. Step 6: Final answer
    x = 680.48

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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.