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Finding the Fourth Proportional to 1,384.49, 1,910.74 and 787.02

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Solution

The fourth proportional to 1,384.49, 1,910.74 and 787.02 is: 1,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.49 : 1,910.74 = 787.02 : x
  2. Step 2: Convert to fraction form
    1,384.49/1,910.74 = 787.02/x
  3. Step 3: Cross multiply
    1,384.49x = 1,910.74 × 787.02
  4. Step 4: Simplify right side
    1,384.49x = 1,503,782.94
  5. Step 5: Solve for x
    x = 1,503,782.94/1,384.49
  6. Step 6: Final answer
    x = 1,086.16

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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.