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Finding the Fourth Proportional to 720.88, 1,080.93 and 282.28

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Solution

The fourth proportional to 720.88, 1,080.93 and 282.28 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.88 : 1,080.93 = 282.28 : x
  2. Step 2: Convert to fraction form
    720.88/1,080.93 = 282.28/x
  3. Step 3: Cross multiply
    720.88x = 1,080.93 × 282.28
  4. Step 4: Simplify right side
    720.88x = 305,124.92
  5. Step 5: Solve for x
    x = 305,124.92/720.88
  6. Step 6: Final answer
    x = 423.27

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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.