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Finding the Fourth Proportional to 1,211.46, 1,670.67 and 814.02

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Solution

The fourth proportional to 1,211.46, 1,670.67 and 814.02 is: 1,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.46 : 1,670.67 = 814.02 : x
  2. Step 2: Convert to fraction form
    1,211.46/1,670.67 = 814.02/x
  3. Step 3: Cross multiply
    1,211.46x = 1,670.67 × 814.02
  4. Step 4: Simplify right side
    1,211.46x = 1,359,958.79
  5. Step 5: Solve for x
    x = 1,359,958.79/1,211.46
  6. Step 6: Final answer
    x = 1,122.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.