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Finding the Fourth Proportional to 683.66, 942.26 and 564.93

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Solution

The fourth proportional to 683.66, 942.26 and 564.93 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 942.26 = 564.93 : x
  2. Step 2: Convert to fraction form
    683.66/942.26 = 564.93/x
  3. Step 3: Cross multiply
    683.66x = 942.26 × 564.93
  4. Step 4: Simplify right side
    683.66x = 532,308.12
  5. Step 5: Solve for x
    x = 532,308.12/683.66
  6. Step 6: Final answer
    x = 778.61

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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.