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Finding the Fourth Proportional to 683.17, 943.08 and 525.74

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Solution

The fourth proportional to 683.17, 943.08 and 525.74 is: 725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.17 : 943.08 = 525.74 : x
  2. Step 2: Convert to fraction form
    683.17/943.08 = 525.74/x
  3. Step 3: Cross multiply
    683.17x = 943.08 × 525.74
  4. Step 4: Simplify right side
    683.17x = 495,815.72
  5. Step 5: Solve for x
    x = 495,815.72/683.17
  6. Step 6: Final answer
    x = 725.76

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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.