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Finding the Fourth Proportional to 737.16, 1,099.66 and 684.76

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Solution

The fourth proportional to 737.16, 1,099.66 and 684.76 is: 1,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.16 : 1,099.66 = 684.76 : x
  2. Step 2: Convert to fraction form
    737.16/1,099.66 = 684.76/x
  3. Step 3: Cross multiply
    737.16x = 1,099.66 × 684.76
  4. Step 4: Simplify right side
    737.16x = 753,003.18
  5. Step 5: Solve for x
    x = 753,003.18/737.16
  6. Step 6: Final answer
    x = 1,021.49

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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.