Home / 1,052.23-1,577.44-403.42

Finding the Fourth Proportional to 1,052.23, 1,577.44 and 403.42

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Solution

The fourth proportional to 1,052.23, 1,577.44 and 403.42 is: 604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.23 : 1,577.44 = 403.42 : x
  2. Step 2: Convert to fraction form
    1,052.23/1,577.44 = 403.42/x
  3. Step 3: Cross multiply
    1,052.23x = 1,577.44 × 403.42
  4. Step 4: Simplify right side
    1,052.23x = 636,370.84
  5. Step 5: Solve for x
    x = 636,370.84/1,052.23
  6. Step 6: Final answer
    x = 604.78

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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.