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Finding the Fourth Proportional to 776.57, 1,071.28 and 496.51

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Solution

The fourth proportional to 776.57, 1,071.28 and 496.51 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,071.28 = 496.51 : x
  2. Step 2: Convert to fraction form
    776.57/1,071.28 = 496.51/x
  3. Step 3: Cross multiply
    776.57x = 1,071.28 × 496.51
  4. Step 4: Simplify right side
    776.57x = 531,902.41
  5. Step 5: Solve for x
    x = 531,902.41/776.57
  6. Step 6: Final answer
    x = 684.94

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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.