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Finding the Fourth Proportional to 1,322.06, 1,824.50 and 732.58

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Solution

The fourth proportional to 1,322.06, 1,824.50 and 732.58 is: 1,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.06 : 1,824.50 = 732.58 : x
  2. Step 2: Convert to fraction form
    1,322.06/1,824.50 = 732.58/x
  3. Step 3: Cross multiply
    1,322.06x = 1,824.50 × 732.58
  4. Step 4: Simplify right side
    1,322.06x = 1,336,589.48
  5. Step 5: Solve for x
    x = 1,336,589.48/1,322.06
  6. Step 6: Final answer
    x = 1,010.99

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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.