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Finding the Fourth Proportional to 930.89, 1,396.24 and 468.48

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Solution

The fourth proportional to 930.89, 1,396.24 and 468.48 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.89 : 1,396.24 = 468.48 : x
  2. Step 2: Convert to fraction form
    930.89/1,396.24 = 468.48/x
  3. Step 3: Cross multiply
    930.89x = 1,396.24 × 468.48
  4. Step 4: Simplify right side
    930.89x = 654,109.34
  5. Step 5: Solve for x
    x = 654,109.34/930.89
  6. Step 6: Final answer
    x = 702.67

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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.