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Finding the Fourth Proportional to 941.48, 1,413.14 and 576.98

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Solution

The fourth proportional to 941.48, 1,413.14 and 576.98 is: 866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,413.14 = 576.98 : x
  2. Step 2: Convert to fraction form
    941.48/1,413.14 = 576.98/x
  3. Step 3: Cross multiply
    941.48x = 1,413.14 × 576.98
  4. Step 4: Simplify right side
    941.48x = 815,353.52
  5. Step 5: Solve for x
    x = 815,353.52/941.48
  6. Step 6: Final answer
    x = 866.03

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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.