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Finding the Fourth Proportional to 851.23, 1,271.66 and 720.55

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Solution

The fourth proportional to 851.23, 1,271.66 and 720.55 is: 1,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.23 : 1,271.66 = 720.55 : x
  2. Step 2: Convert to fraction form
    851.23/1,271.66 = 720.55/x
  3. Step 3: Cross multiply
    851.23x = 1,271.66 × 720.55
  4. Step 4: Simplify right side
    851.23x = 916,294.61
  5. Step 5: Solve for x
    x = 916,294.61/851.23
  6. Step 6: Final answer
    x = 1,076.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.