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Finding the Fourth Proportional to 669.41, 1,006.36 and 540.32

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Solution

The fourth proportional to 669.41, 1,006.36 and 540.32 is: 812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 1,006.36 = 540.32 : x
  2. Step 2: Convert to fraction form
    669.41/1,006.36 = 540.32/x
  3. Step 3: Cross multiply
    669.41x = 1,006.36 × 540.32
  4. Step 4: Simplify right side
    669.41x = 543,748.70
  5. Step 5: Solve for x
    x = 543,748.70/669.41
  6. Step 6: Final answer
    x = 812.28

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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.