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Finding the Fourth Proportional to 1,193.71, 1,790.69 and 413.71

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Solution

The fourth proportional to 1,193.71, 1,790.69 and 413.71 is: 620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.71 : 1,790.69 = 413.71 : x
  2. Step 2: Convert to fraction form
    1,193.71/1,790.69 = 413.71/x
  3. Step 3: Cross multiply
    1,193.71x = 1,790.69 × 413.71
  4. Step 4: Simplify right side
    1,193.71x = 740,819.81
  5. Step 5: Solve for x
    x = 740,819.81/1,193.71
  6. Step 6: Final answer
    x = 620.60

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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.