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Finding the Fourth Proportional to 847.83, 1,270.01 and 538.57

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Solution

The fourth proportional to 847.83, 1,270.01 and 538.57 is: 806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.83 : 1,270.01 = 538.57 : x
  2. Step 2: Convert to fraction form
    847.83/1,270.01 = 538.57/x
  3. Step 3: Cross multiply
    847.83x = 1,270.01 × 538.57
  4. Step 4: Simplify right side
    847.83x = 683,989.29
  5. Step 5: Solve for x
    x = 683,989.29/847.83
  6. Step 6: Final answer
    x = 806.75

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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.