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Finding the Fourth Proportional to 1,153.83, 1,730.85 and 413.61

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Solution

The fourth proportional to 1,153.83, 1,730.85 and 413.61 is: 620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.83 : 1,730.85 = 413.61 : x
  2. Step 2: Convert to fraction form
    1,153.83/1,730.85 = 413.61/x
  3. Step 3: Cross multiply
    1,153.83x = 1,730.85 × 413.61
  4. Step 4: Simplify right side
    1,153.83x = 715,896.87
  5. Step 5: Solve for x
    x = 715,896.87/1,153.83
  6. Step 6: Final answer
    x = 620.45

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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.