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Finding the Fourth Proportional to 999.20, 1,497.60 and 511.52

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Solution

The fourth proportional to 999.20, 1,497.60 and 511.52 is: 766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.20 : 1,497.60 = 511.52 : x
  2. Step 2: Convert to fraction form
    999.20/1,497.60 = 511.52/x
  3. Step 3: Cross multiply
    999.20x = 1,497.60 × 511.52
  4. Step 4: Simplify right side
    999.20x = 766,052.35
  5. Step 5: Solve for x
    x = 766,052.35/999.20
  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.