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Finding the Fourth Proportional to 933.16, 1,398.79 and 413.45

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Solution

The fourth proportional to 933.16, 1,398.79 and 413.45 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.16 : 1,398.79 = 413.45 : x
  2. Step 2: Convert to fraction form
    933.16/1,398.79 = 413.45/x
  3. Step 3: Cross multiply
    933.16x = 1,398.79 × 413.45
  4. Step 4: Simplify right side
    933.16x = 578,329.73
  5. Step 5: Solve for x
    x = 578,329.73/933.16
  6. Step 6: Final answer
    x = 619.75

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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.