Home / 1,023.23-1,534.20-406.67

Finding the Fourth Proportional to 1,023.23, 1,534.20 and 406.67

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Solution

The fourth proportional to 1,023.23, 1,534.20 and 406.67 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.23 : 1,534.20 = 406.67 : x
  2. Step 2: Convert to fraction form
    1,023.23/1,534.20 = 406.67/x
  3. Step 3: Cross multiply
    1,023.23x = 1,534.20 × 406.67
  4. Step 4: Simplify right side
    1,023.23x = 623,905.44
  5. Step 5: Solve for x
    x = 623,905.44/1,023.23
  6. Step 6: Final answer
    x = 609.74

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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.