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Finding the Fourth Proportional to 776.35, 1,070.82 and 496.94

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Solution

The fourth proportional to 776.35, 1,070.82 and 496.94 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.35 : 1,070.82 = 496.94 : x
  2. Step 2: Convert to fraction form
    776.35/1,070.82 = 496.94/x
  3. Step 3: Cross multiply
    776.35x = 1,070.82 × 496.94
  4. Step 4: Simplify right side
    776.35x = 532,127.94
  5. Step 5: Solve for x
    x = 532,127.94/776.35
  6. Step 6: Final answer
    x = 685.42

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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.