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Finding the Fourth Proportional to 700.21, 1,049.01 and 468.42

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Solution

The fourth proportional to 700.21, 1,049.01 and 468.42 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.21 : 1,049.01 = 468.42 : x
  2. Step 2: Convert to fraction form
    700.21/1,049.01 = 468.42/x
  3. Step 3: Cross multiply
    700.21x = 1,049.01 × 468.42
  4. Step 4: Simplify right side
    700.21x = 491,377.26
  5. Step 5: Solve for x
    x = 491,377.26/700.21
  6. Step 6: Final answer
    x = 701.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.