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Finding the Fourth Proportional to 942.38, 1,413.57 and 510.38

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Solution

The fourth proportional to 942.38, 1,413.57 and 510.38 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.38 : 1,413.57 = 510.38 : x
  2. Step 2: Convert to fraction form
    942.38/1,413.57 = 510.38/x
  3. Step 3: Cross multiply
    942.38x = 1,413.57 × 510.38
  4. Step 4: Simplify right side
    942.38x = 721,457.86
  5. Step 5: Solve for x
    x = 721,457.86/942.38
  6. Step 6: Final answer
    x = 765.57

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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.