Home / 1,193.24-1,789.56-534.75

Finding the Fourth Proportional to 1,193.24, 1,789.56 and 534.75

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Solution

The fourth proportional to 1,193.24, 1,789.56 and 534.75 is: 801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,789.56 = 534.75 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,789.56 = 534.75/x
  3. Step 3: Cross multiply
    1,193.24x = 1,789.56 × 534.75
  4. Step 4: Simplify right side
    1,193.24x = 956,967.21
  5. Step 5: Solve for x
    x = 956,967.21/1,193.24
  6. Step 6: Final answer
    x = 801.99

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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.