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Finding the Fourth Proportional to 684.53, 943.23 and 610.07

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Solution

The fourth proportional to 684.53, 943.23 and 610.07 is: 840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.53 : 943.23 = 610.07 : x
  2. Step 2: Convert to fraction form
    684.53/943.23 = 610.07/x
  3. Step 3: Cross multiply
    684.53x = 943.23 × 610.07
  4. Step 4: Simplify right side
    684.53x = 575,436.33
  5. Step 5: Solve for x
    x = 575,436.33/684.53
  6. Step 6: Final answer
    x = 840.63

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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.