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Finding the Fourth Proportional to 669.36, 1,003.96 and 207.15

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Solution

The fourth proportional to 669.36, 1,003.96 and 207.15 is: 310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.36 : 1,003.96 = 207.15 : x
  2. Step 2: Convert to fraction form
    669.36/1,003.96 = 207.15/x
  3. Step 3: Cross multiply
    669.36x = 1,003.96 × 207.15
  4. Step 4: Simplify right side
    669.36x = 207,970.31
  5. Step 5: Solve for x
    x = 207,970.31/669.36
  6. Step 6: Final answer
    x = 310.70

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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.