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Finding the Fourth Proportional to 1,322.79, 1,984.19 and 552.75

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Solution

The fourth proportional to 1,322.79, 1,984.19 and 552.75 is: 829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.79 : 1,984.19 = 552.75 : x
  2. Step 2: Convert to fraction form
    1,322.79/1,984.19 = 552.75/x
  3. Step 3: Cross multiply
    1,322.79x = 1,984.19 × 552.75
  4. Step 4: Simplify right side
    1,322.79x = 1,096,758.26
  5. Step 5: Solve for x
    x = 1,096,758.26/1,322.79
  6. Step 6: Final answer
    x = 829.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.