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Finding the Fourth Proportional to 1,207.69, 1,811.53 and 295.69

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Solution

The fourth proportional to 1,207.69, 1,811.53 and 295.69 is: 443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.69 : 1,811.53 = 295.69 : x
  2. Step 2: Convert to fraction form
    1,207.69/1,811.53 = 295.69/x
  3. Step 3: Cross multiply
    1,207.69x = 1,811.53 × 295.69
  4. Step 4: Simplify right side
    1,207.69x = 535,647.15
  5. Step 5: Solve for x
    x = 535,647.15/1,207.69
  6. Step 6: Final answer
    x = 443.53

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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.