Home / 1,023.31-1,412.36-581.23

Finding the Fourth Proportional to 1,023.31, 1,412.36 and 581.23

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Solution

The fourth proportional to 1,023.31, 1,412.36 and 581.23 is: 802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.31 : 1,412.36 = 581.23 : x
  2. Step 2: Convert to fraction form
    1,023.31/1,412.36 = 581.23/x
  3. Step 3: Cross multiply
    1,023.31x = 1,412.36 × 581.23
  4. Step 4: Simplify right side
    1,023.31x = 820,906.00
  5. Step 5: Solve for x
    x = 820,906.00/1,023.31
  6. Step 6: Final answer
    x = 802.21

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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.