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Finding the Fourth Proportional to 1,322.47, 1,824.90 and 762.56

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Solution

The fourth proportional to 1,322.47, 1,824.90 and 762.56 is: 1,052.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.47 : 1,824.90 = 762.56 : x
  2. Step 2: Convert to fraction form
    1,322.47/1,824.90 = 762.56/x
  3. Step 3: Cross multiply
    1,322.47x = 1,824.90 × 762.56
  4. Step 4: Simplify right side
    1,322.47x = 1,391,595.74
  5. Step 5: Solve for x
    x = 1,391,595.74/1,322.47
  6. Step 6: Final answer
    x = 1,052.27

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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.