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Finding the Fourth Proportional to 1,416.93, 1,955.31 and 787.44

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Solution

The fourth proportional to 1,416.93, 1,955.31 and 787.44 is: 1,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.93 : 1,955.31 = 787.44 : x
  2. Step 2: Convert to fraction form
    1,416.93/1,955.31 = 787.44/x
  3. Step 3: Cross multiply
    1,416.93x = 1,955.31 × 787.44
  4. Step 4: Simplify right side
    1,416.93x = 1,539,689.31
  5. Step 5: Solve for x
    x = 1,539,689.31/1,416.93
  6. Step 6: Final answer
    x = 1,086.64

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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.