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Finding the Fourth Proportional to 1,318.92, 1,977.54 and 624.66

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Solution

The fourth proportional to 1,318.92, 1,977.54 and 624.66 is: 936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.92 : 1,977.54 = 624.66 : x
  2. Step 2: Convert to fraction form
    1,318.92/1,977.54 = 624.66/x
  3. Step 3: Cross multiply
    1,318.92x = 1,977.54 × 624.66
  4. Step 4: Simplify right side
    1,318.92x = 1,235,290.14
  5. Step 5: Solve for x
    x = 1,235,290.14/1,318.92
  6. Step 6: Final answer
    x = 936.59

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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.