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Finding the Fourth Proportional to 669.26, 1,002.26 and 463.25

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Solution

The fourth proportional to 669.26, 1,002.26 and 463.25 is: 693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.26 : 1,002.26 = 463.25 : x
  2. Step 2: Convert to fraction form
    669.26/1,002.26 = 463.25/x
  3. Step 3: Cross multiply
    669.26x = 1,002.26 × 463.25
  4. Step 4: Simplify right side
    669.26x = 464,296.95
  5. Step 5: Solve for x
    x = 464,296.95/669.26
  6. Step 6: Final answer
    x = 693.75

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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.