Home / 1,257.12-1,731.78-1,023.84

Finding the Fourth Proportional to 1,257.12, 1,731.78 and 1,023.84

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Solution

The fourth proportional to 1,257.12, 1,731.78 and 1,023.84 is: 1,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.12 : 1,731.78 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    1,257.12/1,731.78 = 1,023.84/x
  3. Step 3: Cross multiply
    1,257.12x = 1,731.78 × 1,023.84
  4. Step 4: Simplify right side
    1,257.12x = 1,773,065.64
  5. Step 5: Solve for x
    x = 1,773,065.64/1,257.12
  6. Step 6: Final answer
    x = 1,410.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.