Home / 1,110.22-1,664.31-583.04

Finding the Fourth Proportional to 1,110.22, 1,664.31 and 583.04

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Solution

The fourth proportional to 1,110.22, 1,664.31 and 583.04 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.22 : 1,664.31 = 583.04 : x
  2. Step 2: Convert to fraction form
    1,110.22/1,664.31 = 583.04/x
  3. Step 3: Cross multiply
    1,110.22x = 1,664.31 × 583.04
  4. Step 4: Simplify right side
    1,110.22x = 970,359.30
  5. Step 5: Solve for x
    x = 970,359.30/1,110.22
  6. Step 6: Final answer
    x = 874.02

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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.