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Finding the Fourth Proportional to 1,299.69, 1,949.54 and 650.07

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Solution

The fourth proportional to 1,299.69, 1,949.54 and 650.07 is: 975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.69 : 1,949.54 = 650.07 : x
  2. Step 2: Convert to fraction form
    1,299.69/1,949.54 = 650.07/x
  3. Step 3: Cross multiply
    1,299.69x = 1,949.54 × 650.07
  4. Step 4: Simplify right side
    1,299.69x = 1,267,334.22
  5. Step 5: Solve for x
    x = 1,267,334.22/1,299.69
  6. Step 6: Final answer
    x = 975.11

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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.