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Finding the Fourth Proportional to 699.64, 1,049.84 and 456.64

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Solution

The fourth proportional to 699.64, 1,049.84 and 456.64 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.64 : 1,049.84 = 456.64 : x
  2. Step 2: Convert to fraction form
    699.64/1,049.84 = 456.64/x
  3. Step 3: Cross multiply
    699.64x = 1,049.84 × 456.64
  4. Step 4: Simplify right side
    699.64x = 479,398.94
  5. Step 5: Solve for x
    x = 479,398.94/699.64
  6. Step 6: Final answer
    x = 685.21

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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.