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Finding the Fourth Proportional to 746.12, 1,112.14 and 687.80

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Solution

The fourth proportional to 746.12, 1,112.14 and 687.80 is: 1,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,112.14 = 687.80 : x
  2. Step 2: Convert to fraction form
    746.12/1,112.14 = 687.80/x
  3. Step 3: Cross multiply
    746.12x = 1,112.14 × 687.80
  4. Step 4: Simplify right side
    746.12x = 764,929.89
  5. Step 5: Solve for x
    x = 764,929.89/746.12
  6. Step 6: Final answer
    x = 1,025.21

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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.