Home / 1,022.22-1,531.73-582.93

Finding the Fourth Proportional to 1,022.22, 1,531.73 and 582.93

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Solution

The fourth proportional to 1,022.22, 1,531.73 and 582.93 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.22 : 1,531.73 = 582.93 : x
  2. Step 2: Convert to fraction form
    1,022.22/1,531.73 = 582.93/x
  3. Step 3: Cross multiply
    1,022.22x = 1,531.73 × 582.93
  4. Step 4: Simplify right side
    1,022.22x = 892,888.45
  5. Step 5: Solve for x
    x = 892,888.45/1,022.22
  6. Step 6: Final answer
    x = 873.48

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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.