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Finding the Fourth Proportional to 1,965.07, 2,947.61 and 504.24

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Solution

The fourth proportional to 1,965.07, 2,947.61 and 504.24 is: 756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.07 : 2,947.61 = 504.24 : x
  2. Step 2: Convert to fraction form
    1,965.07/2,947.61 = 504.24/x
  3. Step 3: Cross multiply
    1,965.07x = 2,947.61 × 504.24
  4. Step 4: Simplify right side
    1,965.07x = 1,486,302.87
  5. Step 5: Solve for x
    x = 1,486,302.87/1,965.07
  6. Step 6: Final answer
    x = 756.36

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1.5x scale

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.