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Finding the Fourth Proportional to 1,050.56, 1,576.19 and 320.14

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Solution

The fourth proportional to 1,050.56, 1,576.19 and 320.14 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.56 : 1,576.19 = 320.14 : x
  2. Step 2: Convert to fraction form
    1,050.56/1,576.19 = 320.14/x
  3. Step 3: Cross multiply
    1,050.56x = 1,576.19 × 320.14
  4. Step 4: Simplify right side
    1,050.56x = 504,603.04
  5. Step 5: Solve for x
    x = 504,603.04/1,050.56
  6. Step 6: Final answer
    x = 480.32

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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.