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Finding the Fourth Proportional to 1,448.02, 2,171.76 and 582.13

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Solution

The fourth proportional to 1,448.02, 2,171.76 and 582.13 is: 873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.02 : 2,171.76 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,448.02/2,171.76 = 582.13/x
  3. Step 3: Cross multiply
    1,448.02x = 2,171.76 × 582.13
  4. Step 4: Simplify right side
    1,448.02x = 1,264,246.65
  5. Step 5: Solve for x
    x = 1,264,246.65/1,448.02
  6. Step 6: Final answer
    x = 873.09

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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.