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Finding the Fourth Proportional to 806.96, 1,204.58 and 746.84

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Solution

The fourth proportional to 806.96, 1,204.58 and 746.84 is: 1,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,204.58 = 746.84 : x
  2. Step 2: Convert to fraction form
    806.96/1,204.58 = 746.84/x
  3. Step 3: Cross multiply
    806.96x = 1,204.58 × 746.84
  4. Step 4: Simplify right side
    806.96x = 899,628.53
  5. Step 5: Solve for x
    x = 899,628.53/806.96
  6. Step 6: Final answer
    x = 1,114.84

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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.