Home / 1,160.49-1,600.23-923.97

Finding the Fourth Proportional to 1,160.49, 1,600.23 and 923.97

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Solution

The fourth proportional to 1,160.49, 1,600.23 and 923.97 is: 1,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.49 : 1,600.23 = 923.97 : x
  2. Step 2: Convert to fraction form
    1,160.49/1,600.23 = 923.97/x
  3. Step 3: Cross multiply
    1,160.49x = 1,600.23 × 923.97
  4. Step 4: Simplify right side
    1,160.49x = 1,478,564.51
  5. Step 5: Solve for x
    x = 1,478,564.51/1,160.49
  6. Step 6: Final answer
    x = 1,274.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.