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Finding the Fourth Proportional to 786.75, 1,086.22 and 492.45

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Solution

The fourth proportional to 786.75, 1,086.22 and 492.45 is: 679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.75 : 1,086.22 = 492.45 : x
  2. Step 2: Convert to fraction form
    786.75/1,086.22 = 492.45/x
  3. Step 3: Cross multiply
    786.75x = 1,086.22 × 492.45
  4. Step 4: Simplify right side
    786.75x = 534,909.04
  5. Step 5: Solve for x
    x = 534,909.04/786.75
  6. Step 6: Final answer
    x = 679.90

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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.