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Finding the Fourth Proportional to 683.84, 942.72 and 518.60

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Solution

The fourth proportional to 683.84, 942.72 and 518.60 is: 714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 942.72 = 518.60 : x
  2. Step 2: Convert to fraction form
    683.84/942.72 = 518.60/x
  3. Step 3: Cross multiply
    683.84x = 942.72 × 518.60
  4. Step 4: Simplify right side
    683.84x = 488,894.59
  5. Step 5: Solve for x
    x = 488,894.59/683.84
  6. Step 6: Final answer
    x = 714.93

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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.