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Finding the Fourth Proportional to 1,082.91, 1,624.56 and 505.79

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Solution

The fourth proportional to 1,082.91, 1,624.56 and 505.79 is: 758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.91 : 1,624.56 = 505.79 : x
  2. Step 2: Convert to fraction form
    1,082.91/1,624.56 = 505.79/x
  3. Step 3: Cross multiply
    1,082.91x = 1,624.56 × 505.79
  4. Step 4: Simplify right side
    1,082.91x = 821,678.08
  5. Step 5: Solve for x
    x = 821,678.08/1,082.91
  6. Step 6: Final answer
    x = 758.77

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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.