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Finding the Fourth Proportional to 683.07, 943.29 and 588.93

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Solution

The fourth proportional to 683.07, 943.29 and 588.93 is: 813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.07 : 943.29 = 588.93 : x
  2. Step 2: Convert to fraction form
    683.07/943.29 = 588.93/x
  3. Step 3: Cross multiply
    683.07x = 943.29 × 588.93
  4. Step 4: Simplify right side
    683.07x = 555,531.78
  5. Step 5: Solve for x
    x = 555,531.78/683.07
  6. Step 6: Final answer
    x = 813.29

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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.