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Finding the Fourth Proportional to 786.44, 1,179.50 and 231.08

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Solution

The fourth proportional to 786.44, 1,179.50 and 231.08 is: 346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.44 : 1,179.50 = 231.08 : x
  2. Step 2: Convert to fraction form
    786.44/1,179.50 = 231.08/x
  3. Step 3: Cross multiply
    786.44x = 1,179.50 × 231.08
  4. Step 4: Simplify right side
    786.44x = 272,551.81
  5. Step 5: Solve for x
    x = 272,551.81/786.44
  6. Step 6: Final answer
    x = 346.56

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.