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Finding the Fourth Proportional to 847.22, 1,270.04 and 538.13

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Solution

The fourth proportional to 847.22, 1,270.04 and 538.13 is: 806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.22 : 1,270.04 = 538.13 : x
  2. Step 2: Convert to fraction form
    847.22/1,270.04 = 538.13/x
  3. Step 3: Cross multiply
    847.22x = 1,270.04 × 538.13
  4. Step 4: Simplify right side
    847.22x = 683,437.58
  5. Step 5: Solve for x
    x = 683,437.58/847.22
  6. Step 6: Final answer
    x = 806.69

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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.