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Finding the Fourth Proportional to 933.03, 1,286.87 and 601.26

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Solution

The fourth proportional to 933.03, 1,286.87 and 601.26 is: 829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.03 : 1,286.87 = 601.26 : x
  2. Step 2: Convert to fraction form
    933.03/1,286.87 = 601.26/x
  3. Step 3: Cross multiply
    933.03x = 1,286.87 × 601.26
  4. Step 4: Simplify right side
    933.03x = 773,740.45
  5. Step 5: Solve for x
    x = 773,740.45/933.03
  6. Step 6: Final answer
    x = 829.28

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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.