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Finding the Fourth Proportional to 942.53, 1,413.82 and 804.71

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Solution

The fourth proportional to 942.53, 1,413.82 and 804.71 is: 1,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.53 : 1,413.82 = 804.71 : x
  2. Step 2: Convert to fraction form
    942.53/1,413.82 = 804.71/x
  3. Step 3: Cross multiply
    942.53x = 1,413.82 × 804.71
  4. Step 4: Simplify right side
    942.53x = 1,137,715.09
  5. Step 5: Solve for x
    x = 1,137,715.09/942.53
  6. Step 6: Final answer
    x = 1,207.09

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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.