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Finding the Fourth Proportional to 773.53, 1,160.69 and 388.75

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Solution

The fourth proportional to 773.53, 1,160.69 and 388.75 is: 583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.53 : 1,160.69 = 388.75 : x
  2. Step 2: Convert to fraction form
    773.53/1,160.69 = 388.75/x
  3. Step 3: Cross multiply
    773.53x = 1,160.69 × 388.75
  4. Step 4: Simplify right side
    773.53x = 451,218.24
  5. Step 5: Solve for x
    x = 451,218.24/773.53
  6. Step 6: Final answer
    x = 583.32

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Double scale
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1.5x scale

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.