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Finding the Fourth Proportional to 1,195.70, 1,783.08 and 1,184.76

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Solution

The fourth proportional to 1,195.70, 1,783.08 and 1,184.76 is: 1,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.70 : 1,783.08 = 1,184.76 : x
  2. Step 2: Convert to fraction form
    1,195.70/1,783.08 = 1,184.76/x
  3. Step 3: Cross multiply
    1,195.70x = 1,783.08 × 1,184.76
  4. Step 4: Simplify right side
    1,195.70x = 2,112,521.86
  5. Step 5: Solve for x
    x = 2,112,521.86/1,195.70
  6. Step 6: Final answer
    x = 1,766.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.