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Finding the Fourth Proportional to 1,205.40, 1,806.80 and 511.48

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Solution

The fourth proportional to 1,205.40, 1,806.80 and 511.48 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,806.80 = 511.48 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,806.80 = 511.48/x
  3. Step 3: Cross multiply
    1,205.40x = 1,806.80 × 511.48
  4. Step 4: Simplify right side
    1,205.40x = 924,143.34
  5. Step 5: Solve for x
    x = 924,143.34/1,205.40
  6. Step 6: Final answer
    x = 766.67

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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.