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Finding the Fourth Proportional to 1,211.60, 1,817.08 and 442

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Solution

The fourth proportional to 1,211.60, 1,817.08 and 442 is: 662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.60 : 1,817.08 = 442 : x
  2. Step 2: Convert to fraction form
    1,211.60/1,817.08 = 442/x
  3. Step 3: Cross multiply
    1,211.60x = 1,817.08 × 442
  4. Step 4: Simplify right side
    1,211.60x = 803,149.36
  5. Step 5: Solve for x
    x = 803,149.36/1,211.60
  6. Step 6: Final answer
    x = 662.88

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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.