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Finding the Fourth Proportional to 1,069, 1,603.77 and 299.50

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Solution

The fourth proportional to 1,069, 1,603.77 and 299.50 is: 449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,603.77 = 299.50 : x
  2. Step 2: Convert to fraction form
    1,069/1,603.77 = 299.50/x
  3. Step 3: Cross multiply
    1,069x = 1,603.77 × 299.50
  4. Step 4: Simplify right side
    1,069x = 480,329.12
  5. Step 5: Solve for x
    x = 480,329.12/1,069
  6. Step 6: Final answer
    x = 449.33

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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.