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Finding the Fourth Proportional to 1,416.64, 1,954.96 and 787.16

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Solution

The fourth proportional to 1,416.64, 1,954.96 and 787.16 is: 1,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.64 : 1,954.96 = 787.16 : x
  2. Step 2: Convert to fraction form
    1,416.64/1,954.96 = 787.16/x
  3. Step 3: Cross multiply
    1,416.64x = 1,954.96 × 787.16
  4. Step 4: Simplify right side
    1,416.64x = 1,538,866.31
  5. Step 5: Solve for x
    x = 1,538,866.31/1,416.64
  6. Step 6: Final answer
    x = 1,086.28

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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.