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Finding the Fourth Proportional to 847.55, 1,270.23 and 683.10

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Solution

The fourth proportional to 847.55, 1,270.23 and 683.10 is: 1,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.55 : 1,270.23 = 683.10 : x
  2. Step 2: Convert to fraction form
    847.55/1,270.23 = 683.10/x
  3. Step 3: Cross multiply
    847.55x = 1,270.23 × 683.10
  4. Step 4: Simplify right side
    847.55x = 867,687.76
  5. Step 5: Solve for x
    x = 867,687.76/847.55
  6. Step 6: Final answer
    x = 1,023.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.