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Finding the Fourth Proportional to 669.71, 1,004.43 and 466.13

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Solution

The fourth proportional to 669.71, 1,004.43 and 466.13 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.71 : 1,004.43 = 466.13 : x
  2. Step 2: Convert to fraction form
    669.71/1,004.43 = 466.13/x
  3. Step 3: Cross multiply
    669.71x = 1,004.43 × 466.13
  4. Step 4: Simplify right side
    669.71x = 468,194.96
  5. Step 5: Solve for x
    x = 468,194.96/669.71
  6. Step 6: Final answer
    x = 699.10

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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.