Home / 1,109.14-1,663.94-589.46

Finding the Fourth Proportional to 1,109.14, 1,663.94 and 589.46

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Solution

The fourth proportional to 1,109.14, 1,663.94 and 589.46 is: 884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.14 : 1,663.94 = 589.46 : x
  2. Step 2: Convert to fraction form
    1,109.14/1,663.94 = 589.46/x
  3. Step 3: Cross multiply
    1,109.14x = 1,663.94 × 589.46
  4. Step 4: Simplify right side
    1,109.14x = 980,819.23
  5. Step 5: Solve for x
    x = 980,819.23/1,109.14
  6. Step 6: Final answer
    x = 884.31

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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.