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Finding the Fourth Proportional to 942.07, 1,413.33 and 479.83

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Solution

The fourth proportional to 942.07, 1,413.33 and 479.83 is: 719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.07 : 1,413.33 = 479.83 : x
  2. Step 2: Convert to fraction form
    942.07/1,413.33 = 479.83/x
  3. Step 3: Cross multiply
    942.07x = 1,413.33 × 479.83
  4. Step 4: Simplify right side
    942.07x = 678,158.13
  5. Step 5: Solve for x
    x = 678,158.13/942.07
  6. Step 6: Final answer
    x = 719.86

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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.