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Finding the Fourth Proportional to 933.60, 1,400.70 and 413.40

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Solution

The fourth proportional to 933.60, 1,400.70 and 413.40 is: 620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.60 : 1,400.70 = 413.40 : x
  2. Step 2: Convert to fraction form
    933.60/1,400.70 = 413.40/x
  3. Step 3: Cross multiply
    933.60x = 1,400.70 × 413.40
  4. Step 4: Simplify right side
    933.60x = 579,049.38
  5. Step 5: Solve for x
    x = 579,049.38/933.60
  6. Step 6: Final answer
    x = 620.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.