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Finding the Fourth Proportional to 1,299.26, 1,947.06 and 933.24

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Solution

The fourth proportional to 1,299.26, 1,947.06 and 933.24 is: 1,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.26 : 1,947.06 = 933.24 : x
  2. Step 2: Convert to fraction form
    1,299.26/1,947.06 = 933.24/x
  3. Step 3: Cross multiply
    1,299.26x = 1,947.06 × 933.24
  4. Step 4: Simplify right side
    1,299.26x = 1,817,074.27
  5. Step 5: Solve for x
    x = 1,817,074.27/1,299.26
  6. Step 6: Final answer
    x = 1,398.55

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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.