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Finding the Fourth Proportional to 683.66, 941.81 and 565.14

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Solution

The fourth proportional to 683.66, 941.81 and 565.14 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 941.81 = 565.14 : x
  2. Step 2: Convert to fraction form
    683.66/941.81 = 565.14/x
  3. Step 3: Cross multiply
    683.66x = 941.81 × 565.14
  4. Step 4: Simplify right side
    683.66x = 532,254.50
  5. Step 5: Solve for x
    x = 532,254.50/683.66
  6. Step 6: Final answer
    x = 778.54

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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.