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Finding the Fourth Proportional to 776.66, 1,071.77 and 461.97

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Solution

The fourth proportional to 776.66, 1,071.77 and 461.97 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.66 : 1,071.77 = 461.97 : x
  2. Step 2: Convert to fraction form
    776.66/1,071.77 = 461.97/x
  3. Step 3: Cross multiply
    776.66x = 1,071.77 × 461.97
  4. Step 4: Simplify right side
    776.66x = 495,123.28
  5. Step 5: Solve for x
    x = 495,123.28/776.66
  6. Step 6: Final answer
    x = 637.51

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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.