Home / 1,533.29-2,299.77-985.73

Finding the Fourth Proportional to 1,533.29, 2,299.77 and 985.73

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Solution

The fourth proportional to 1,533.29, 2,299.77 and 985.73 is: 1,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.29 : 2,299.77 = 985.73 : x
  2. Step 2: Convert to fraction form
    1,533.29/2,299.77 = 985.73/x
  3. Step 3: Cross multiply
    1,533.29x = 2,299.77 × 985.73
  4. Step 4: Simplify right side
    1,533.29x = 2,266,940.78
  5. Step 5: Solve for x
    x = 2,266,940.78/1,533.29
  6. Step 6: Final answer
    x = 1,478.49

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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.