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Finding the Fourth Proportional to 941.84, 1,413.71 and 455.30

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Solution

The fourth proportional to 941.84, 1,413.71 and 455.30 is: 683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.84 : 1,413.71 = 455.30 : x
  2. Step 2: Convert to fraction form
    941.84/1,413.71 = 455.30/x
  3. Step 3: Cross multiply
    941.84x = 1,413.71 × 455.30
  4. Step 4: Simplify right side
    941.84x = 643,652.82
  5. Step 5: Solve for x
    x = 643,652.82/941.84
  6. Step 6: Final answer
    x = 683.40

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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.