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Finding the Fourth Proportional to 669.40, 1,003.02 and 452.59

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Solution

The fourth proportional to 669.40, 1,003.02 and 452.59 is: 678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.40 : 1,003.02 = 452.59 : x
  2. Step 2: Convert to fraction form
    669.40/1,003.02 = 452.59/x
  3. Step 3: Cross multiply
    669.40x = 1,003.02 × 452.59
  4. Step 4: Simplify right side
    669.40x = 453,956.82
  5. Step 5: Solve for x
    x = 453,956.82/669.40
  6. Step 6: Final answer
    x = 678.15

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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.