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Finding the Fourth Proportional to 1,056, 1,581.92 and 996.06

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Solution

The fourth proportional to 1,056, 1,581.92 and 996.06 is: 1,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056 : 1,581.92 = 996.06 : x
  2. Step 2: Convert to fraction form
    1,056/1,581.92 = 996.06/x
  3. Step 3: Cross multiply
    1,056x = 1,581.92 × 996.06
  4. Step 4: Simplify right side
    1,056x = 1,575,687.24
  5. Step 5: Solve for x
    x = 1,575,687.24/1,056
  6. Step 6: Final answer
    x = 1,492.13

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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.