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Finding the Fourth Proportional to 942.30, 1,413.45 and 902.31

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Solution

The fourth proportional to 942.30, 1,413.45 and 902.31 is: 1,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.30 : 1,413.45 = 902.31 : x
  2. Step 2: Convert to fraction form
    942.30/1,413.45 = 902.31/x
  3. Step 3: Cross multiply
    942.30x = 1,413.45 × 902.31
  4. Step 4: Simplify right side
    942.30x = 1,275,364.77
  5. Step 5: Solve for x
    x = 1,275,364.77/942.30
  6. Step 6: Final answer
    x = 1,353.46

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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.