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Finding the Fourth Proportional to 933.90, 1,400.66 and 567.38

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Solution

The fourth proportional to 933.90, 1,400.66 and 567.38 is: 850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.90 : 1,400.66 = 567.38 : x
  2. Step 2: Convert to fraction form
    933.90/1,400.66 = 567.38/x
  3. Step 3: Cross multiply
    933.90x = 1,400.66 × 567.38
  4. Step 4: Simplify right side
    933.90x = 794,706.47
  5. Step 5: Solve for x
    x = 794,706.47/933.90
  6. Step 6: Final answer
    x = 850.95

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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.