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Finding the Fourth Proportional to 933.86, 1,402.01 and 627.08

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Solution

The fourth proportional to 933.86, 1,402.01 and 627.08 is: 941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,402.01 = 627.08 : x
  2. Step 2: Convert to fraction form
    933.86/1,402.01 = 627.08/x
  3. Step 3: Cross multiply
    933.86x = 1,402.01 × 627.08
  4. Step 4: Simplify right side
    933.86x = 879,172.43
  5. Step 5: Solve for x
    x = 879,172.43/933.86
  6. Step 6: Final answer
    x = 941.44

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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.