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Finding the Fourth Proportional to 1,082.74, 1,624.12 and 506.02

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Solution

The fourth proportional to 1,082.74, 1,624.12 and 506.02 is: 759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.74 : 1,624.12 = 506.02 : x
  2. Step 2: Convert to fraction form
    1,082.74/1,624.12 = 506.02/x
  3. Step 3: Cross multiply
    1,082.74x = 1,624.12 × 506.02
  4. Step 4: Simplify right side
    1,082.74x = 821,837.20
  5. Step 5: Solve for x
    x = 821,837.20/1,082.74
  6. Step 6: Final answer
    x = 759.03

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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.