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Finding the Fourth Proportional to 785.08, 1,176.73 and 322.27

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Solution

The fourth proportional to 785.08, 1,176.73 and 322.27 is: 483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.08 : 1,176.73 = 322.27 : x
  2. Step 2: Convert to fraction form
    785.08/1,176.73 = 322.27/x
  3. Step 3: Cross multiply
    785.08x = 1,176.73 × 322.27
  4. Step 4: Simplify right side
    785.08x = 379,217.28
  5. Step 5: Solve for x
    x = 379,217.28/785.08
  6. Step 6: Final answer
    x = 483.03

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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.