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Finding the Fourth Proportional to 772.27, 1,156.59 and 511.63

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Solution

The fourth proportional to 772.27, 1,156.59 and 511.63 is: 766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.27 : 1,156.59 = 511.63 : x
  2. Step 2: Convert to fraction form
    772.27/1,156.59 = 511.63/x
  3. Step 3: Cross multiply
    772.27x = 1,156.59 × 511.63
  4. Step 4: Simplify right side
    772.27x = 591,746.14
  5. Step 5: Solve for x
    x = 591,746.14/772.27
  6. Step 6: Final answer
    x = 766.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.