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Finding the Fourth Proportional to 1,191.06, 1,786.59 and 574.74

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Solution

The fourth proportional to 1,191.06, 1,786.59 and 574.74 is: 862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.06 : 1,786.59 = 574.74 : x
  2. Step 2: Convert to fraction form
    1,191.06/1,786.59 = 574.74/x
  3. Step 3: Cross multiply
    1,191.06x = 1,786.59 × 574.74
  4. Step 4: Simplify right side
    1,191.06x = 1,026,824.74
  5. Step 5: Solve for x
    x = 1,026,824.74/1,191.06
  6. Step 6: Final answer
    x = 862.11

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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.