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Finding the Fourth Proportional to 1,384.43, 1,910.30 and 824.90

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Solution

The fourth proportional to 1,384.43, 1,910.30 and 824.90 is: 1,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.43 : 1,910.30 = 824.90 : x
  2. Step 2: Convert to fraction form
    1,384.43/1,910.30 = 824.90/x
  3. Step 3: Cross multiply
    1,384.43x = 1,910.30 × 824.90
  4. Step 4: Simplify right side
    1,384.43x = 1,575,792.79
  5. Step 5: Solve for x
    x = 1,575,792.79/1,384.43
  6. Step 6: Final answer
    x = 1,138.23

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