Home / 1,374.24-1,896.43-784.77

Finding the Fourth Proportional to 1,374.24, 1,896.43 and 784.77

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Solution

The fourth proportional to 1,374.24, 1,896.43 and 784.77 is: 1,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.24 : 1,896.43 = 784.77 : x
  2. Step 2: Convert to fraction form
    1,374.24/1,896.43 = 784.77/x
  3. Step 3: Cross multiply
    1,374.24x = 1,896.43 × 784.77
  4. Step 4: Simplify right side
    1,374.24x = 1,488,261.37
  5. Step 5: Solve for x
    x = 1,488,261.37/1,374.24
  6. Step 6: Final answer
    x = 1,082.97

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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.