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Finding the Fourth Proportional to 720.34, 994.29 and 487.46

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Solution

The fourth proportional to 720.34, 994.29 and 487.46 is: 672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 994.29 = 487.46 : x
  2. Step 2: Convert to fraction form
    720.34/994.29 = 487.46/x
  3. Step 3: Cross multiply
    720.34x = 994.29 × 487.46
  4. Step 4: Simplify right side
    720.34x = 484,676.60
  5. Step 5: Solve for x
    x = 484,676.60/720.34
  6. Step 6: Final answer
    x = 672.84

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