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Finding the Fourth Proportional to 772.71, 1,157.69 and 406.38

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Solution

The fourth proportional to 772.71, 1,157.69 and 406.38 is: 608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.71 : 1,157.69 = 406.38 : x
  2. Step 2: Convert to fraction form
    772.71/1,157.69 = 406.38/x
  3. Step 3: Cross multiply
    772.71x = 1,157.69 × 406.38
  4. Step 4: Simplify right side
    772.71x = 470,460.03
  5. Step 5: Solve for x
    x = 470,460.03/772.71
  6. Step 6: Final answer
    x = 608.84

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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.