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Finding the Fourth Proportional to 1,411.38, 2,117.07 and 385.38

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Solution

The fourth proportional to 1,411.38, 2,117.07 and 385.38 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.38 : 2,117.07 = 385.38 : x
  2. Step 2: Convert to fraction form
    1,411.38/2,117.07 = 385.38/x
  3. Step 3: Cross multiply
    1,411.38x = 2,117.07 × 385.38
  4. Step 4: Simplify right side
    1,411.38x = 815,876.44
  5. Step 5: Solve for x
    x = 815,876.44/1,411.38
  6. Step 6: Final answer
    x = 578.07

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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.