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Finding the Fourth Proportional to 720.75, 1,081.57 and 287.88

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Solution

The fourth proportional to 720.75, 1,081.57 and 287.88 is: 432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 1,081.57 = 287.88 : x
  2. Step 2: Convert to fraction form
    720.75/1,081.57 = 287.88/x
  3. Step 3: Cross multiply
    720.75x = 1,081.57 × 287.88
  4. Step 4: Simplify right side
    720.75x = 311,362.37
  5. Step 5: Solve for x
    x = 311,362.37/720.75
  6. Step 6: Final answer
    x = 432.00

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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.