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Finding the Fourth Proportional to 1,330.92, 1,996.32 and 782.64

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Solution

The fourth proportional to 1,330.92, 1,996.32 and 782.64 is: 1,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.92 : 1,996.32 = 782.64 : x
  2. Step 2: Convert to fraction form
    1,330.92/1,996.32 = 782.64/x
  3. Step 3: Cross multiply
    1,330.92x = 1,996.32 × 782.64
  4. Step 4: Simplify right side
    1,330.92x = 1,562,399.88
  5. Step 5: Solve for x
    x = 1,562,399.88/1,330.92
  6. Step 6: Final answer
    x = 1,173.92

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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.