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Finding the Fourth Proportional to 1,379, 1,904.64 and 912.44

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Solution

The fourth proportional to 1,379, 1,904.64 and 912.44 is: 1,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379 : 1,904.64 = 912.44 : x
  2. Step 2: Convert to fraction form
    1,379/1,904.64 = 912.44/x
  3. Step 3: Cross multiply
    1,379x = 1,904.64 × 912.44
  4. Step 4: Simplify right side
    1,379x = 1,737,869.72
  5. Step 5: Solve for x
    x = 1,737,869.72/1,379
  6. Step 6: Final answer
    x = 1,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.