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Finding the Fourth Proportional to 1,318.23, 1,976.54 and 624.87

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Solution

The fourth proportional to 1,318.23, 1,976.54 and 624.87 is: 936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.23 : 1,976.54 = 624.87 : x
  2. Step 2: Convert to fraction form
    1,318.23/1,976.54 = 624.87/x
  3. Step 3: Cross multiply
    1,318.23x = 1,976.54 × 624.87
  4. Step 4: Simplify right side
    1,318.23x = 1,235,077.43
  5. Step 5: Solve for x
    x = 1,235,077.43/1,318.23
  6. Step 6: Final answer
    x = 936.92

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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.