Home / 1,035.23-1,553.37-688.80

Finding the Fourth Proportional to 1,035.23, 1,553.37 and 688.80

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Solution

The fourth proportional to 1,035.23, 1,553.37 and 688.80 is: 1,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.23 : 1,553.37 = 688.80 : x
  2. Step 2: Convert to fraction form
    1,035.23/1,553.37 = 688.80/x
  3. Step 3: Cross multiply
    1,035.23x = 1,553.37 × 688.80
  4. Step 4: Simplify right side
    1,035.23x = 1,069,961.26
  5. Step 5: Solve for x
    x = 1,069,961.26/1,035.23
  6. Step 6: Final answer
    x = 1,033.55

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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.