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Finding the Fourth Proportional to 1,069.23, 1,603.65 and 419.82

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Solution

The fourth proportional to 1,069.23, 1,603.65 and 419.82 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.23 : 1,603.65 = 419.82 : x
  2. Step 2: Convert to fraction form
    1,069.23/1,603.65 = 419.82/x
  3. Step 3: Cross multiply
    1,069.23x = 1,603.65 × 419.82
  4. Step 4: Simplify right side
    1,069.23x = 673,244.34
  5. Step 5: Solve for x
    x = 673,244.34/1,069.23
  6. Step 6: Final answer
    x = 629.65

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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.