Home / 1,082.34-1,623.84-457.92

Finding the Fourth Proportional to 1,082.34, 1,623.84 and 457.92

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Solution

The fourth proportional to 1,082.34, 1,623.84 and 457.92 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,623.84 = 457.92 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,623.84 = 457.92/x
  3. Step 3: Cross multiply
    1,082.34x = 1,623.84 × 457.92
  4. Step 4: Simplify right side
    1,082.34x = 743,588.81
  5. Step 5: Solve for x
    x = 743,588.81/1,082.34
  6. Step 6: Final answer
    x = 687.02

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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.