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Finding the Fourth Proportional to 669.66, 1,004.22 and 488.40

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Solution

The fourth proportional to 669.66, 1,004.22 and 488.40 is: 732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 1,004.22 = 488.40 : x
  2. Step 2: Convert to fraction form
    669.66/1,004.22 = 488.40/x
  3. Step 3: Cross multiply
    669.66x = 1,004.22 × 488.40
  4. Step 4: Simplify right side
    669.66x = 490,461.05
  5. Step 5: Solve for x
    x = 490,461.05/669.66
  6. Step 6: Final answer
    x = 732.40

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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.