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Finding the Fourth Proportional to 669.12, 1,004.16 and 452.16

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Solution

The fourth proportional to 669.12, 1,004.16 and 452.16 is: 678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 1,004.16 = 452.16 : x
  2. Step 2: Convert to fraction form
    669.12/1,004.16 = 452.16/x
  3. Step 3: Cross multiply
    669.12x = 1,004.16 × 452.16
  4. Step 4: Simplify right side
    669.12x = 454,040.99
  5. Step 5: Solve for x
    x = 454,040.99/669.12
  6. Step 6: Final answer
    x = 678.56

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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.