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Finding the Fourth Proportional to 773.52, 1,157.84 and 553.60

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Solution

The fourth proportional to 773.52, 1,157.84 and 553.60 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,157.84 = 553.60 : x
  2. Step 2: Convert to fraction form
    773.52/1,157.84 = 553.60/x
  3. Step 3: Cross multiply
    773.52x = 1,157.84 × 553.60
  4. Step 4: Simplify right side
    773.52x = 640,980.22
  5. Step 5: Solve for x
    x = 640,980.22/773.52
  6. Step 6: Final answer
    x = 828.65

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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.