Home / 1,082.08-1,622.40-465.13

Finding the Fourth Proportional to 1,082.08, 1,622.40 and 465.13

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Solution

The fourth proportional to 1,082.08, 1,622.40 and 465.13 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.08 : 1,622.40 = 465.13 : x
  2. Step 2: Convert to fraction form
    1,082.08/1,622.40 = 465.13/x
  3. Step 3: Cross multiply
    1,082.08x = 1,622.40 × 465.13
  4. Step 4: Simplify right side
    1,082.08x = 754,626.91
  5. Step 5: Solve for x
    x = 754,626.91/1,082.08
  6. Step 6: Final answer
    x = 697.39

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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.