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Finding the Fourth Proportional to 672.82, 926.26 and 580.78

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Solution

The fourth proportional to 672.82, 926.26 and 580.78 is: 799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.82 : 926.26 = 580.78 : x
  2. Step 2: Convert to fraction form
    672.82/926.26 = 580.78/x
  3. Step 3: Cross multiply
    672.82x = 926.26 × 580.78
  4. Step 4: Simplify right side
    672.82x = 537,953.28
  5. Step 5: Solve for x
    x = 537,953.28/672.82
  6. Step 6: Final answer
    x = 799.55

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1.5x scale

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.