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Finding the Fourth Proportional to 897.81, 1,344.81 and 624.42

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Solution

The fourth proportional to 897.81, 1,344.81 and 624.42 is: 935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.81 : 1,344.81 = 624.42 : x
  2. Step 2: Convert to fraction form
    897.81/1,344.81 = 624.42/x
  3. Step 3: Cross multiply
    897.81x = 1,344.81 × 624.42
  4. Step 4: Simplify right side
    897.81x = 839,726.26
  5. Step 5: Solve for x
    x = 839,726.26/897.81
  6. Step 6: Final answer
    x = 935.31

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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.