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Finding the Fourth Proportional to 683.57, 944.18 and 594.87

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Solution

The fourth proportional to 683.57, 944.18 and 594.87 is: 821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 944.18 = 594.87 : x
  2. Step 2: Convert to fraction form
    683.57/944.18 = 594.87/x
  3. Step 3: Cross multiply
    683.57x = 944.18 × 594.87
  4. Step 4: Simplify right side
    683.57x = 561,661.38
  5. Step 5: Solve for x
    x = 561,661.38/683.57
  6. Step 6: Final answer
    x = 821.66

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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.