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Finding the Fourth Proportional to 678.22, 1,015.71 and 514.60

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Solution

The fourth proportional to 678.22, 1,015.71 and 514.60 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.22 : 1,015.71 = 514.60 : x
  2. Step 2: Convert to fraction form
    678.22/1,015.71 = 514.60/x
  3. Step 3: Cross multiply
    678.22x = 1,015.71 × 514.60
  4. Step 4: Simplify right side
    678.22x = 522,684.37
  5. Step 5: Solve for x
    x = 522,684.37/678.22
  6. Step 6: Final answer
    x = 770.67

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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.