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Finding the Fourth Proportional to 776.58, 1,071.37 and 496.75

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Solution

The fourth proportional to 776.58, 1,071.37 and 496.75 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.58 : 1,071.37 = 496.75 : x
  2. Step 2: Convert to fraction form
    776.58/1,071.37 = 496.75/x
  3. Step 3: Cross multiply
    776.58x = 1,071.37 × 496.75
  4. Step 4: Simplify right side
    776.58x = 532,203.05
  5. Step 5: Solve for x
    x = 532,203.05/776.58
  6. Step 6: Final answer
    x = 685.32

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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.