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Finding the Fourth Proportional to 772.26, 1,065.72 and 457.68

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Solution

The fourth proportional to 772.26, 1,065.72 and 457.68 is: 631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,065.72 = 457.68 : x
  2. Step 2: Convert to fraction form
    772.26/1,065.72 = 457.68/x
  3. Step 3: Cross multiply
    772.26x = 1,065.72 × 457.68
  4. Step 4: Simplify right side
    772.26x = 487,759.30
  5. Step 5: Solve for x
    x = 487,759.30/772.26
  6. Step 6: Final answer
    x = 631.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.