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Finding the Fourth Proportional to 1,069, 1,602.94 and 452.04

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Solution

The fourth proportional to 1,069, 1,602.94 and 452.04 is: 677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,602.94 = 452.04 : x
  2. Step 2: Convert to fraction form
    1,069/1,602.94 = 452.04/x
  3. Step 3: Cross multiply
    1,069x = 1,602.94 × 452.04
  4. Step 4: Simplify right side
    1,069x = 724,593.00
  5. Step 5: Solve for x
    x = 724,593.00/1,069
  6. Step 6: Final answer
    x = 677.82

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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.