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Finding the Fourth Proportional to 689.64, 952.20 and 453.72

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Solution

The fourth proportional to 689.64, 952.20 and 453.72 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 952.20 = 453.72 : x
  2. Step 2: Convert to fraction form
    689.64/952.20 = 453.72/x
  3. Step 3: Cross multiply
    689.64x = 952.20 × 453.72
  4. Step 4: Simplify right side
    689.64x = 432,032.18
  5. Step 5: Solve for x
    x = 432,032.18/689.64
  6. Step 6: Final answer
    x = 626.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.