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Finding the Fourth Proportional to 1,279.76, 1,918.48 and 413.52

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Solution

The fourth proportional to 1,279.76, 1,918.48 and 413.52 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.76 : 1,918.48 = 413.52 : x
  2. Step 2: Convert to fraction form
    1,279.76/1,918.48 = 413.52/x
  3. Step 3: Cross multiply
    1,279.76x = 1,918.48 × 413.52
  4. Step 4: Simplify right side
    1,279.76x = 793,329.85
  5. Step 5: Solve for x
    x = 793,329.85/1,279.76
  6. Step 6: Final answer
    x = 619.91

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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.