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Finding the Fourth Proportional to 1,279.19, 1,918.79 and 413.49

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Solution

The fourth proportional to 1,279.19, 1,918.79 and 413.49 is: 620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.19 : 1,918.79 = 413.49 : x
  2. Step 2: Convert to fraction form
    1,279.19/1,918.79 = 413.49/x
  3. Step 3: Cross multiply
    1,279.19x = 1,918.79 × 413.49
  4. Step 4: Simplify right side
    1,279.19x = 793,398.41
  5. Step 5: Solve for x
    x = 793,398.41/1,279.19
  6. Step 6: Final answer
    x = 620.24

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1.5x scale

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.