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Finding the Fourth Proportional to 1,133.59, 1,563.01 and 967.27

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Solution

The fourth proportional to 1,133.59, 1,563.01 and 967.27 is: 1,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.59 : 1,563.01 = 967.27 : x
  2. Step 2: Convert to fraction form
    1,133.59/1,563.01 = 967.27/x
  3. Step 3: Cross multiply
    1,133.59x = 1,563.01 × 967.27
  4. Step 4: Simplify right side
    1,133.59x = 1,511,852.68
  5. Step 5: Solve for x
    x = 1,511,852.68/1,133.59
  6. Step 6: Final answer
    x = 1,333.69

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Why These Related Problems?

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