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Finding the Fourth Proportional to 847.00, 1,270.87 and 456.55

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Solution

The fourth proportional to 847.00, 1,270.87 and 456.55 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.00 : 1,270.87 = 456.55 : x
  2. Step 2: Convert to fraction form
    847.00/1,270.87 = 456.55/x
  3. Step 3: Cross multiply
    847.00x = 1,270.87 × 456.55
  4. Step 4: Simplify right side
    847.00x = 580,211.38
  5. Step 5: Solve for x
    x = 580,211.38/847.00
  6. Step 6: Final answer
    x = 685.02

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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.