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Finding the Fourth Proportional to 772.02, 1,157.62 and 712.08

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Solution

The fourth proportional to 772.02, 1,157.62 and 712.08 is: 1,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,157.62 = 712.08 : x
  2. Step 2: Convert to fraction form
    772.02/1,157.62 = 712.08/x
  3. Step 3: Cross multiply
    772.02x = 1,157.62 × 712.08
  4. Step 4: Simplify right side
    772.02x = 824,318.05
  5. Step 5: Solve for x
    x = 824,318.05/772.02
  6. Step 6: Final answer
    x = 1,067.74

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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.