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Finding the Fourth Proportional to 1,029.39, 1,544.49 and 413.52

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Solution

The fourth proportional to 1,029.39, 1,544.49 and 413.52 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.39 : 1,544.49 = 413.52 : x
  2. Step 2: Convert to fraction form
    1,029.39/1,544.49 = 413.52/x
  3. Step 3: Cross multiply
    1,029.39x = 1,544.49 × 413.52
  4. Step 4: Simplify right side
    1,029.39x = 638,677.50
  5. Step 5: Solve for x
    x = 638,677.50/1,029.39
  6. Step 6: Final answer
    x = 620.44

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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.