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Finding the Fourth Proportional to 1,455.28, 2,182.73 and 530.80

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Solution

The fourth proportional to 1,455.28, 2,182.73 and 530.80 is: 796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.28 : 2,182.73 = 530.80 : x
  2. Step 2: Convert to fraction form
    1,455.28/2,182.73 = 530.80/x
  3. Step 3: Cross multiply
    1,455.28x = 2,182.73 × 530.80
  4. Step 4: Simplify right side
    1,455.28x = 1,158,584.97
  5. Step 5: Solve for x
    x = 1,158,584.97/1,455.28
  6. Step 6: Final answer
    x = 796.13

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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.