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Finding the Fourth Proportional to 1,336.42, 1,844.16 and 776.89

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Solution

The fourth proportional to 1,336.42, 1,844.16 and 776.89 is: 1,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.42 : 1,844.16 = 776.89 : x
  2. Step 2: Convert to fraction form
    1,336.42/1,844.16 = 776.89/x
  3. Step 3: Cross multiply
    1,336.42x = 1,844.16 × 776.89
  4. Step 4: Simplify right side
    1,336.42x = 1,432,709.46
  5. Step 5: Solve for x
    x = 1,432,709.46/1,336.42
  6. Step 6: Final answer
    x = 1,072.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.