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Finding the Fourth Proportional to 933.09, 1,399.64 and 283.83

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Solution

The fourth proportional to 933.09, 1,399.64 and 283.83 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.09 : 1,399.64 = 283.83 : x
  2. Step 2: Convert to fraction form
    933.09/1,399.64 = 283.83/x
  3. Step 3: Cross multiply
    933.09x = 1,399.64 × 283.83
  4. Step 4: Simplify right side
    933.09x = 397,258.40
  5. Step 5: Solve for x
    x = 397,258.40/933.09
  6. Step 6: Final answer
    x = 425.75

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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.