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Finding the Fourth Proportional to 683.18, 943.14 and 506

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Solution

The fourth proportional to 683.18, 943.14 and 506 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.18 : 943.14 = 506 : x
  2. Step 2: Convert to fraction form
    683.18/943.14 = 506/x
  3. Step 3: Cross multiply
    683.18x = 943.14 × 506
  4. Step 4: Simplify right side
    683.18x = 477,228.84
  5. Step 5: Solve for x
    x = 477,228.84/683.18
  6. Step 6: Final answer
    x = 698.54

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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.