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Finding the Fourth Proportional to 1,322.30, 1,824.98 and 762.66

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Solution

The fourth proportional to 1,322.30, 1,824.98 and 762.66 is: 1,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.30 : 1,824.98 = 762.66 : x
  2. Step 2: Convert to fraction form
    1,322.30/1,824.98 = 762.66/x
  3. Step 3: Cross multiply
    1,322.30x = 1,824.98 × 762.66
  4. Step 4: Simplify right side
    1,322.30x = 1,391,839.25
  5. Step 5: Solve for x
    x = 1,391,839.25/1,322.30
  6. Step 6: Final answer
    x = 1,052.59

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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.