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Finding the Fourth Proportional to 816.48, 1,125.24 and 764.52

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Solution

The fourth proportional to 816.48, 1,125.24 and 764.52 is: 1,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,125.24 = 764.52 : x
  2. Step 2: Convert to fraction form
    816.48/1,125.24 = 764.52/x
  3. Step 3: Cross multiply
    816.48x = 1,125.24 × 764.52
  4. Step 4: Simplify right side
    816.48x = 860,268.48
  5. Step 5: Solve for x
    x = 860,268.48/816.48
  6. Step 6: Final answer
    x = 1,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.