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Finding the Fourth Proportional to 699.20, 1,049.30 and 468.53

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Solution

The fourth proportional to 699.20, 1,049.30 and 468.53 is: 703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.20 : 1,049.30 = 468.53 : x
  2. Step 2: Convert to fraction form
    699.20/1,049.30 = 468.53/x
  3. Step 3: Cross multiply
    699.20x = 1,049.30 × 468.53
  4. Step 4: Simplify right side
    699.20x = 491,620.94
  5. Step 5: Solve for x
    x = 491,620.94/699.20
  6. Step 6: Final answer
    x = 703.12

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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.