Home / 1,374.04-1,896.30-784.64

Finding the Fourth Proportional to 1,374.04, 1,896.30 and 784.64

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Solution

The fourth proportional to 1,374.04, 1,896.30 and 784.64 is: 1,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.04 : 1,896.30 = 784.64 : x
  2. Step 2: Convert to fraction form
    1,374.04/1,896.30 = 784.64/x
  3. Step 3: Cross multiply
    1,374.04x = 1,896.30 × 784.64
  4. Step 4: Simplify right side
    1,374.04x = 1,487,912.83
  5. Step 5: Solve for x
    x = 1,487,912.83/1,374.04
  6. Step 6: Final answer
    x = 1,082.87

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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.