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Finding the Fourth Proportional to 683.75, 943.65 and 590.81

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Solution

The fourth proportional to 683.75, 943.65 and 590.81 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.75 : 943.65 = 590.81 : x
  2. Step 2: Convert to fraction form
    683.75/943.65 = 590.81/x
  3. Step 3: Cross multiply
    683.75x = 943.65 × 590.81
  4. Step 4: Simplify right side
    683.75x = 557,513.14
  5. Step 5: Solve for x
    x = 557,513.14/683.75
  6. Step 6: Final answer
    x = 815.37

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