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Finding the Fourth Proportional to 933.41, 1,399.97 and 543.63

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Solution

The fourth proportional to 933.41, 1,399.97 and 543.63 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.41 : 1,399.97 = 543.63 : x
  2. Step 2: Convert to fraction form
    933.41/1,399.97 = 543.63/x
  3. Step 3: Cross multiply
    933.41x = 1,399.97 × 543.63
  4. Step 4: Simplify right side
    933.41x = 761,062.97
  5. Step 5: Solve for x
    x = 761,062.97/933.41
  6. Step 6: Final answer
    x = 815.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.