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Finding the Fourth Proportional to 683.89, 945.05 and 559.51

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Solution

The fourth proportional to 683.89, 945.05 and 559.51 is: 773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.89 : 945.05 = 559.51 : x
  2. Step 2: Convert to fraction form
    683.89/945.05 = 559.51/x
  3. Step 3: Cross multiply
    683.89x = 945.05 × 559.51
  4. Step 4: Simplify right side
    683.89x = 528,757.40
  5. Step 5: Solve for x
    x = 528,757.40/683.89
  6. Step 6: Final answer
    x = 773.16

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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.