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Finding the Fourth Proportional to 743.36, 1,119.17 and 657.18

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Solution

The fourth proportional to 743.36, 1,119.17 and 657.18 is: 989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.36 : 1,119.17 = 657.18 : x
  2. Step 2: Convert to fraction form
    743.36/1,119.17 = 657.18/x
  3. Step 3: Cross multiply
    743.36x = 1,119.17 × 657.18
  4. Step 4: Simplify right side
    743.36x = 735,497.78
  5. Step 5: Solve for x
    x = 735,497.78/743.36
  6. Step 6: Final answer
    x = 989.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.