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Finding the Fourth Proportional to 1,190.90, 1,786.38 and 357.95

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Solution

The fourth proportional to 1,190.90, 1,786.38 and 357.95 is: 536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.90 : 1,786.38 = 357.95 : x
  2. Step 2: Convert to fraction form
    1,190.90/1,786.38 = 357.95/x
  3. Step 3: Cross multiply
    1,190.90x = 1,786.38 × 357.95
  4. Step 4: Simplify right side
    1,190.90x = 639,425.79
  5. Step 5: Solve for x
    x = 639,425.79/1,190.90
  6. Step 6: Final answer
    x = 536.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.