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Finding the Fourth Proportional to 933.85, 1,400.77 and 284.57

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Solution

The fourth proportional to 933.85, 1,400.77 and 284.57 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.85 : 1,400.77 = 284.57 : x
  2. Step 2: Convert to fraction form
    933.85/1,400.77 = 284.57/x
  3. Step 3: Cross multiply
    933.85x = 1,400.77 × 284.57
  4. Step 4: Simplify right side
    933.85x = 398,610.12
  5. Step 5: Solve for x
    x = 398,610.12/933.85
  6. Step 6: Final answer
    x = 426.85

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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.