Home / 1,154.13-1,731.21-423.51

Finding the Fourth Proportional to 1,154.13, 1,731.21 and 423.51

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Solution

The fourth proportional to 1,154.13, 1,731.21 and 423.51 is: 635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.13 : 1,731.21 = 423.51 : x
  2. Step 2: Convert to fraction form
    1,154.13/1,731.21 = 423.51/x
  3. Step 3: Cross multiply
    1,154.13x = 1,731.21 × 423.51
  4. Step 4: Simplify right side
    1,154.13x = 733,184.75
  5. Step 5: Solve for x
    x = 733,184.75/1,154.13
  6. Step 6: Final answer
    x = 635.27

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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.