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Finding the Fourth Proportional to 1,299.39, 1,947.98 and 568.42

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Solution

The fourth proportional to 1,299.39, 1,947.98 and 568.42 is: 852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.39 : 1,947.98 = 568.42 : x
  2. Step 2: Convert to fraction form
    1,299.39/1,947.98 = 568.42/x
  3. Step 3: Cross multiply
    1,299.39x = 1,947.98 × 568.42
  4. Step 4: Simplify right side
    1,299.39x = 1,107,270.79
  5. Step 5: Solve for x
    x = 1,107,270.79/1,299.39
  6. Step 6: Final answer
    x = 852.15

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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.