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Finding the Fourth Proportional to 772.32, 1,157.09 and 511.70

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Solution

The fourth proportional to 772.32, 1,157.09 and 511.70 is: 766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,157.09 = 511.70 : x
  2. Step 2: Convert to fraction form
    772.32/1,157.09 = 511.70/x
  3. Step 3: Cross multiply
    772.32x = 1,157.09 × 511.70
  4. Step 4: Simplify right side
    772.32x = 592,083.29
  5. Step 5: Solve for x
    x = 592,083.29/772.32
  6. Step 6: Final answer
    x = 766.63

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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.