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Finding the Fourth Proportional to 1,475.28, 2,212.91 and 488.07

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Solution

The fourth proportional to 1,475.28, 2,212.91 and 488.07 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.28 : 2,212.91 = 488.07 : x
  2. Step 2: Convert to fraction form
    1,475.28/2,212.91 = 488.07/x
  3. Step 3: Cross multiply
    1,475.28x = 2,212.91 × 488.07
  4. Step 4: Simplify right side
    1,475.28x = 1,080,052.54
  5. Step 5: Solve for x
    x = 1,080,052.54/1,475.28
  6. Step 6: Final answer
    x = 732.10

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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.