Home / 1,460.53-2,189.37-582.77

Finding the Fourth Proportional to 1,460.53, 2,189.37 and 582.77

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Solution

The fourth proportional to 1,460.53, 2,189.37 and 582.77 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.53 : 2,189.37 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,460.53/2,189.37 = 582.77/x
  3. Step 3: Cross multiply
    1,460.53x = 2,189.37 × 582.77
  4. Step 4: Simplify right side
    1,460.53x = 1,275,899.15
  5. Step 5: Solve for x
    x = 1,275,899.15/1,460.53
  6. Step 6: Final answer
    x = 873.59

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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.