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Finding the Fourth Proportional to 769.64, 1,153.86 and 525.56

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Solution

The fourth proportional to 769.64, 1,153.86 and 525.56 is: 787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.64 : 1,153.86 = 525.56 : x
  2. Step 2: Convert to fraction form
    769.64/1,153.86 = 525.56/x
  3. Step 3: Cross multiply
    769.64x = 1,153.86 × 525.56
  4. Step 4: Simplify right side
    769.64x = 606,422.66
  5. Step 5: Solve for x
    x = 606,422.66/769.64
  6. Step 6: Final answer
    x = 787.93

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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.