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Finding the Fourth Proportional to 1,322.36, 1,824.88 and 762.85

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Solution

The fourth proportional to 1,322.36, 1,824.88 and 762.85 is: 1,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.36 : 1,824.88 = 762.85 : x
  2. Step 2: Convert to fraction form
    1,322.36/1,824.88 = 762.85/x
  3. Step 3: Cross multiply
    1,322.36x = 1,824.88 × 762.85
  4. Step 4: Simplify right side
    1,322.36x = 1,392,100.58
  5. Step 5: Solve for x
    x = 1,392,100.58/1,322.36
  6. Step 6: Final answer
    x = 1,052.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.