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Finding the Fourth Proportional to 1,072.96, 1,478.96 and 723.04

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Solution

The fourth proportional to 1,072.96, 1,478.96 and 723.04 is: 996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.96 : 1,478.96 = 723.04 : x
  2. Step 2: Convert to fraction form
    1,072.96/1,478.96 = 723.04/x
  3. Step 3: Cross multiply
    1,072.96x = 1,478.96 × 723.04
  4. Step 4: Simplify right side
    1,072.96x = 1,069,347.24
  5. Step 5: Solve for x
    x = 1,069,347.24/1,072.96
  6. Step 6: Final answer
    x = 996.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.