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Finding the Fourth Proportional to 1,315.92, 1,974.19 and 438.42

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Solution

The fourth proportional to 1,315.92, 1,974.19 and 438.42 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.92 : 1,974.19 = 438.42 : x
  2. Step 2: Convert to fraction form
    1,315.92/1,974.19 = 438.42/x
  3. Step 3: Cross multiply
    1,315.92x = 1,974.19 × 438.42
  4. Step 4: Simplify right side
    1,315.92x = 865,524.38
  5. Step 5: Solve for x
    x = 865,524.38/1,315.92
  6. Step 6: Final answer
    x = 657.73

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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.