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Finding the Fourth Proportional to 732.84, 1,092.30 and 713.37

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Solution

The fourth proportional to 732.84, 1,092.30 and 713.37 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,092.30 = 713.37 : x
  2. Step 2: Convert to fraction form
    732.84/1,092.30 = 713.37/x
  3. Step 3: Cross multiply
    732.84x = 1,092.30 × 713.37
  4. Step 4: Simplify right side
    732.84x = 779,214.05
  5. Step 5: Solve for x
    x = 779,214.05/732.84
  6. Step 6: Final answer
    x = 1,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.