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Finding the Fourth Proportional to 1,211.44, 1,806.68 and 1,030

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Solution

The fourth proportional to 1,211.44, 1,806.68 and 1,030 is: 1,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.44 : 1,806.68 = 1,030 : x
  2. Step 2: Convert to fraction form
    1,211.44/1,806.68 = 1,030/x
  3. Step 3: Cross multiply
    1,211.44x = 1,806.68 × 1,030
  4. Step 4: Simplify right side
    1,211.44x = 1,860,880.40
  5. Step 5: Solve for x
    x = 1,860,880.40/1,211.44
  6. Step 6: Final answer
    x = 1,536.09

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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.