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Finding the Fourth Proportional to 902.14, 1,244.97 and 509.18

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Solution

The fourth proportional to 902.14, 1,244.97 and 509.18 is: 702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,244.97 = 509.18 : x
  2. Step 2: Convert to fraction form
    902.14/1,244.97 = 509.18/x
  3. Step 3: Cross multiply
    902.14x = 1,244.97 × 509.18
  4. Step 4: Simplify right side
    902.14x = 633,907.60
  5. Step 5: Solve for x
    x = 633,907.60/902.14
  6. Step 6: Final answer
    x = 702.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.