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Finding the Fourth Proportional to 1,069.49, 1,604.12 and 289.45

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Solution

The fourth proportional to 1,069.49, 1,604.12 and 289.45 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.49 : 1,604.12 = 289.45 : x
  2. Step 2: Convert to fraction form
    1,069.49/1,604.12 = 289.45/x
  3. Step 3: Cross multiply
    1,069.49x = 1,604.12 × 289.45
  4. Step 4: Simplify right side
    1,069.49x = 464,308.99
  5. Step 5: Solve for x
    x = 464,308.99/1,069.49
  6. Step 6: Final answer
    x = 434.14

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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.