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Finding the Fourth Proportional to 926.67, 1,278.28 and 816.41

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Solution

The fourth proportional to 926.67, 1,278.28 and 816.41 is: 1,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.67 : 1,278.28 = 816.41 : x
  2. Step 2: Convert to fraction form
    926.67/1,278.28 = 816.41/x
  3. Step 3: Cross multiply
    926.67x = 1,278.28 × 816.41
  4. Step 4: Simplify right side
    926.67x = 1,043,604.79
  5. Step 5: Solve for x
    x = 1,043,604.79/926.67
  6. Step 6: Final answer
    x = 1,126.18

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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.