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Finding the Fourth Proportional to 1,181.16, 1,770.74 and 719.40

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Solution

The fourth proportional to 1,181.16, 1,770.74 and 719.40 is: 1,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.16 : 1,770.74 = 719.40 : x
  2. Step 2: Convert to fraction form
    1,181.16/1,770.74 = 719.40/x
  3. Step 3: Cross multiply
    1,181.16x = 1,770.74 × 719.40
  4. Step 4: Simplify right side
    1,181.16x = 1,273,870.36
  5. Step 5: Solve for x
    x = 1,273,870.36/1,181.16
  6. Step 6: Final answer
    x = 1,078.49

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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.