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Finding the Fourth Proportional to 683.70, 942.21 and 573.54

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Solution

The fourth proportional to 683.70, 942.21 and 573.54 is: 790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.70 : 942.21 = 573.54 : x
  2. Step 2: Convert to fraction form
    683.70/942.21 = 573.54/x
  3. Step 3: Cross multiply
    683.70x = 942.21 × 573.54
  4. Step 4: Simplify right side
    683.70x = 540,395.12
  5. Step 5: Solve for x
    x = 540,395.12/683.70
  6. Step 6: Final answer
    x = 790.40

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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.