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Finding the Fourth Proportional to 678.41, 1,015.95 and 612.67

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Solution

The fourth proportional to 678.41, 1,015.95 and 612.67 is: 917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 1,015.95 = 612.67 : x
  2. Step 2: Convert to fraction form
    678.41/1,015.95 = 612.67/x
  3. Step 3: Cross multiply
    678.41x = 1,015.95 × 612.67
  4. Step 4: Simplify right side
    678.41x = 622,443.62
  5. Step 5: Solve for x
    x = 622,443.62/678.41
  6. Step 6: Final answer
    x = 917.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.