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Finding the Fourth Proportional to 776.68, 1,071.72 and 461.95

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Solution

The fourth proportional to 776.68, 1,071.72 and 461.95 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.68 : 1,071.72 = 461.95 : x
  2. Step 2: Convert to fraction form
    776.68/1,071.72 = 461.95/x
  3. Step 3: Cross multiply
    776.68x = 1,071.72 × 461.95
  4. Step 4: Simplify right side
    776.68x = 495,078.37
  5. Step 5: Solve for x
    x = 495,078.37/776.68
  6. Step 6: Final answer
    x = 637.43

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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.