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Finding the Fourth Proportional to 732.96, 1,093.88 and 703.19

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Solution

The fourth proportional to 732.96, 1,093.88 and 703.19 is: 1,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.96 : 1,093.88 = 703.19 : x
  2. Step 2: Convert to fraction form
    732.96/1,093.88 = 703.19/x
  3. Step 3: Cross multiply
    732.96x = 1,093.88 × 703.19
  4. Step 4: Simplify right side
    732.96x = 769,196.49
  5. Step 5: Solve for x
    x = 769,196.49/732.96
  6. Step 6: Final answer
    x = 1,049.44

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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.