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Finding the Fourth Proportional to 683.42, 943.91 and 497.74

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Solution

The fourth proportional to 683.42, 943.91 and 497.74 is: 687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 943.91 = 497.74 : x
  2. Step 2: Convert to fraction form
    683.42/943.91 = 497.74/x
  3. Step 3: Cross multiply
    683.42x = 943.91 × 497.74
  4. Step 4: Simplify right side
    683.42x = 469,824.12
  5. Step 5: Solve for x
    x = 469,824.12/683.42
  6. Step 6: Final answer
    x = 687.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.