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Finding the Fourth Proportional to 720.70, 994.53 and 440.98

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Solution

The fourth proportional to 720.70, 994.53 and 440.98 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.70 : 994.53 = 440.98 : x
  2. Step 2: Convert to fraction form
    720.70/994.53 = 440.98/x
  3. Step 3: Cross multiply
    720.70x = 994.53 × 440.98
  4. Step 4: Simplify right side
    720.70x = 438,567.84
  5. Step 5: Solve for x
    x = 438,567.84/720.70
  6. Step 6: Final answer
    x = 608.53

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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.