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Finding the Fourth Proportional to 720.68, 1,080.78 and 233.61

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Solution

The fourth proportional to 720.68, 1,080.78 and 233.61 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.68 : 1,080.78 = 233.61 : x
  2. Step 2: Convert to fraction form
    720.68/1,080.78 = 233.61/x
  3. Step 3: Cross multiply
    720.68x = 1,080.78 × 233.61
  4. Step 4: Simplify right side
    720.68x = 252,481.02
  5. Step 5: Solve for x
    x = 252,481.02/720.68
  6. Step 6: Final answer
    x = 350.34

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Half scale
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Double scale
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Similar ratio
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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.