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Finding the Fourth Proportional to 669.10, 1,003.65 and 425.80

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Solution

The fourth proportional to 669.10, 1,003.65 and 425.80 is: 638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.10 : 1,003.65 = 425.80 : x
  2. Step 2: Convert to fraction form
    669.10/1,003.65 = 425.80/x
  3. Step 3: Cross multiply
    669.10x = 1,003.65 × 425.80
  4. Step 4: Simplify right side
    669.10x = 427,354.17
  5. Step 5: Solve for x
    x = 427,354.17/669.10
  6. Step 6: Final answer
    x = 638.70

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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.