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Finding the Fourth Proportional to 772.03, 1,157.19 and 512.02

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Solution

The fourth proportional to 772.03, 1,157.19 and 512.02 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.03 : 1,157.19 = 512.02 : x
  2. Step 2: Convert to fraction form
    772.03/1,157.19 = 512.02/x
  3. Step 3: Cross multiply
    772.03x = 1,157.19 × 512.02
  4. Step 4: Simplify right side
    772.03x = 592,504.42
  5. Step 5: Solve for x
    x = 592,504.42/772.03
  6. Step 6: Final answer
    x = 767.46

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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.