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Finding the Fourth Proportional to 941.48, 1,413.90 and 820.52

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Solution

The fourth proportional to 941.48, 1,413.90 and 820.52 is: 1,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,413.90 = 820.52 : x
  2. Step 2: Convert to fraction form
    941.48/1,413.90 = 820.52/x
  3. Step 3: Cross multiply
    941.48x = 1,413.90 × 820.52
  4. Step 4: Simplify right side
    941.48x = 1,160,133.23
  5. Step 5: Solve for x
    x = 1,160,133.23/941.48
  6. Step 6: Final answer
    x = 1,232.24

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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.