Home / 1,150.89-1,726.50-420.30

Finding the Fourth Proportional to 1,150.89, 1,726.50 and 420.30

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Solution

The fourth proportional to 1,150.89, 1,726.50 and 420.30 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.89 : 1,726.50 = 420.30 : x
  2. Step 2: Convert to fraction form
    1,150.89/1,726.50 = 420.30/x
  3. Step 3: Cross multiply
    1,150.89x = 1,726.50 × 420.30
  4. Step 4: Simplify right side
    1,150.89x = 725,649.53
  5. Step 5: Solve for x
    x = 725,649.53/1,150.89
  6. Step 6: Final answer
    x = 630.51

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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.