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Finding the Fourth Proportional to 1,082.94, 1,624.34 and 302.99

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Solution

The fourth proportional to 1,082.94, 1,624.34 and 302.99 is: 454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.94 : 1,624.34 = 302.99 : x
  2. Step 2: Convert to fraction form
    1,082.94/1,624.34 = 302.99/x
  3. Step 3: Cross multiply
    1,082.94x = 1,624.34 × 302.99
  4. Step 4: Simplify right side
    1,082.94x = 492,149.14
  5. Step 5: Solve for x
    x = 492,149.14/1,082.94
  6. Step 6: Final answer
    x = 454.46

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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.