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Finding the Fourth Proportional to 1,298.26, 1,947.84 and 568

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Solution

The fourth proportional to 1,298.26, 1,947.84 and 568 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.26 : 1,947.84 = 568 : x
  2. Step 2: Convert to fraction form
    1,298.26/1,947.84 = 568/x
  3. Step 3: Cross multiply
    1,298.26x = 1,947.84 × 568
  4. Step 4: Simplify right side
    1,298.26x = 1,106,373.12
  5. Step 5: Solve for x
    x = 1,106,373.12/1,298.26
  6. Step 6: Final answer
    x = 852.20

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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.