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Finding the Fourth Proportional to 1,266.80, 1,901.54 and 828.93

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Solution

The fourth proportional to 1,266.80, 1,901.54 and 828.93 is: 1,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.80 : 1,901.54 = 828.93 : x
  2. Step 2: Convert to fraction form
    1,266.80/1,901.54 = 828.93/x
  3. Step 3: Cross multiply
    1,266.80x = 1,901.54 × 828.93
  4. Step 4: Simplify right side
    1,266.80x = 1,576,245.62
  5. Step 5: Solve for x
    x = 1,576,245.62/1,266.80
  6. Step 6: Final answer
    x = 1,244.28

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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.