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Finding the Fourth Proportional to 1,416.57, 1,954.80 and 787.14

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Solution

The fourth proportional to 1,416.57, 1,954.80 and 787.14 is: 1,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.57 : 1,954.80 = 787.14 : x
  2. Step 2: Convert to fraction form
    1,416.57/1,954.80 = 787.14/x
  3. Step 3: Cross multiply
    1,416.57x = 1,954.80 × 787.14
  4. Step 4: Simplify right side
    1,416.57x = 1,538,701.27
  5. Step 5: Solve for x
    x = 1,538,701.27/1,416.57
  6. Step 6: Final answer
    x = 1,086.22

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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.