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Finding the Fourth Proportional to 1,291.92, 1,783.02 and 768.24

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Solution

The fourth proportional to 1,291.92, 1,783.02 and 768.24 is: 1,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.92 : 1,783.02 = 768.24 : x
  2. Step 2: Convert to fraction form
    1,291.92/1,783.02 = 768.24/x
  3. Step 3: Cross multiply
    1,291.92x = 1,783.02 × 768.24
  4. Step 4: Simplify right side
    1,291.92x = 1,369,787.28
  5. Step 5: Solve for x
    x = 1,369,787.28/1,291.92
  6. Step 6: Final answer
    x = 1,060.27

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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.