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Finding the Fourth Proportional to 669.12, 1,003.14 and 452.76

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Solution

The fourth proportional to 669.12, 1,003.14 and 452.76 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 1,003.14 = 452.76 : x
  2. Step 2: Convert to fraction form
    669.12/1,003.14 = 452.76/x
  3. Step 3: Cross multiply
    669.12x = 1,003.14 × 452.76
  4. Step 4: Simplify right side
    669.12x = 454,181.67
  5. Step 5: Solve for x
    x = 454,181.67/669.12
  6. Step 6: Final answer
    x = 678.77

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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.