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Finding the Fourth Proportional to 852.61, 1,277.13 and 413.23

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Solution

The fourth proportional to 852.61, 1,277.13 and 413.23 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.61 : 1,277.13 = 413.23 : x
  2. Step 2: Convert to fraction form
    852.61/1,277.13 = 413.23/x
  3. Step 3: Cross multiply
    852.61x = 1,277.13 × 413.23
  4. Step 4: Simplify right side
    852.61x = 527,748.43
  5. Step 5: Solve for x
    x = 527,748.43/852.61
  6. Step 6: Final answer
    x = 618.98

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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.