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Finding the Fourth Proportional to 720.50, 1,080.76 and 475.27

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Solution

The fourth proportional to 720.50, 1,080.76 and 475.27 is: 712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.50 : 1,080.76 = 475.27 : x
  2. Step 2: Convert to fraction form
    720.50/1,080.76 = 475.27/x
  3. Step 3: Cross multiply
    720.50x = 1,080.76 × 475.27
  4. Step 4: Simplify right side
    720.50x = 513,649.81
  5. Step 5: Solve for x
    x = 513,649.81/720.50
  6. Step 6: Final answer
    x = 712.91

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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.