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Finding the Fourth Proportional to 933.78, 1,399.86 and 356.25

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Solution

The fourth proportional to 933.78, 1,399.86 and 356.25 is: 534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.78 : 1,399.86 = 356.25 : x
  2. Step 2: Convert to fraction form
    933.78/1,399.86 = 356.25/x
  3. Step 3: Cross multiply
    933.78x = 1,399.86 × 356.25
  4. Step 4: Simplify right side
    933.78x = 498,700.13
  5. Step 5: Solve for x
    x = 498,700.13/933.78
  6. Step 6: Final answer
    x = 534.07

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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.