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Finding the Fourth Proportional to 1,299.39, 1,947.20 and 649.23

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Solution

The fourth proportional to 1,299.39, 1,947.20 and 649.23 is: 972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.39 : 1,947.20 = 649.23 : x
  2. Step 2: Convert to fraction form
    1,299.39/1,947.20 = 649.23/x
  3. Step 3: Cross multiply
    1,299.39x = 1,947.20 × 649.23
  4. Step 4: Simplify right side
    1,299.39x = 1,264,177.41
  5. Step 5: Solve for x
    x = 1,264,177.41/1,299.39
  6. Step 6: Final answer
    x = 972.90

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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.