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Finding the Fourth Proportional to 1,193.23, 1,789.54 and 803.01

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Solution

The fourth proportional to 1,193.23, 1,789.54 and 803.01 is: 1,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.23 : 1,789.54 = 803.01 : x
  2. Step 2: Convert to fraction form
    1,193.23/1,789.54 = 803.01/x
  3. Step 3: Cross multiply
    1,193.23x = 1,789.54 × 803.01
  4. Step 4: Simplify right side
    1,193.23x = 1,437,016.51
  5. Step 5: Solve for x
    x = 1,437,016.51/1,193.23
  6. Step 6: Final answer
    x = 1,204.31

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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.