Home / 1,023.60-1,534.76-406.96

Finding the Fourth Proportional to 1,023.60, 1,534.76 and 406.96

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Solution

The fourth proportional to 1,023.60, 1,534.76 and 406.96 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,534.76 = 406.96 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,534.76 = 406.96/x
  3. Step 3: Cross multiply
    1,023.60x = 1,534.76 × 406.96
  4. Step 4: Simplify right side
    1,023.60x = 624,585.93
  5. Step 5: Solve for x
    x = 624,585.93/1,023.60
  6. Step 6: Final answer
    x = 610.19

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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.