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Finding the Fourth Proportional to 1,352.74, 2,028.30 and 658.71

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Solution

The fourth proportional to 1,352.74, 2,028.30 and 658.71 is: 987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.74 : 2,028.30 = 658.71 : x
  2. Step 2: Convert to fraction form
    1,352.74/2,028.30 = 658.71/x
  3. Step 3: Cross multiply
    1,352.74x = 2,028.30 × 658.71
  4. Step 4: Simplify right side
    1,352.74x = 1,336,061.49
  5. Step 5: Solve for x
    x = 1,336,061.49/1,352.74
  6. Step 6: Final answer
    x = 987.67

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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.