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Finding the Fourth Proportional to 852.10, 1,277.66 and 413.20

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Solution

The fourth proportional to 852.10, 1,277.66 and 413.20 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,277.66 = 413.20 : x
  2. Step 2: Convert to fraction form
    852.10/1,277.66 = 413.20/x
  3. Step 3: Cross multiply
    852.10x = 1,277.66 × 413.20
  4. Step 4: Simplify right side
    852.10x = 527,929.11
  5. Step 5: Solve for x
    x = 527,929.11/852.10
  6. Step 6: Final answer
    x = 619.56

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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.