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Finding the Fourth Proportional to 1,416.77, 1,954.92 and 787.29

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Solution

The fourth proportional to 1,416.77, 1,954.92 and 787.29 is: 1,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.77 : 1,954.92 = 787.29 : x
  2. Step 2: Convert to fraction form
    1,416.77/1,954.92 = 787.29/x
  3. Step 3: Cross multiply
    1,416.77x = 1,954.92 × 787.29
  4. Step 4: Simplify right side
    1,416.77x = 1,539,084.59
  5. Step 5: Solve for x
    x = 1,539,084.59/1,416.77
  6. Step 6: Final answer
    x = 1,086.33

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1.5x scale

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.