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Finding the Fourth Proportional to 1,050.65, 1,575.96 and 320.27

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Solution

The fourth proportional to 1,050.65, 1,575.96 and 320.27 is: 480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.65 : 1,575.96 = 320.27 : x
  2. Step 2: Convert to fraction form
    1,050.65/1,575.96 = 320.27/x
  3. Step 3: Cross multiply
    1,050.65x = 1,575.96 × 320.27
  4. Step 4: Simplify right side
    1,050.65x = 504,732.71
  5. Step 5: Solve for x
    x = 504,732.71/1,050.65
  6. Step 6: Final answer
    x = 480.40

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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.