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Finding the Fourth Proportional to 933.10, 1,399.85 and 283.88

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Solution

The fourth proportional to 933.10, 1,399.85 and 283.88 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.10 : 1,399.85 = 283.88 : x
  2. Step 2: Convert to fraction form
    933.10/1,399.85 = 283.88/x
  3. Step 3: Cross multiply
    933.10x = 1,399.85 × 283.88
  4. Step 4: Simplify right side
    933.10x = 397,394.16
  5. Step 5: Solve for x
    x = 397,394.16/933.10
  6. Step 6: Final answer
    x = 425.89

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