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Finding the Fourth Proportional to 808.78, 1,116.30 and 677.56

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Solution

The fourth proportional to 808.78, 1,116.30 and 677.56 is: 935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.78 : 1,116.30 = 677.56 : x
  2. Step 2: Convert to fraction form
    808.78/1,116.30 = 677.56/x
  3. Step 3: Cross multiply
    808.78x = 1,116.30 × 677.56
  4. Step 4: Simplify right side
    808.78x = 756,360.23
  5. Step 5: Solve for x
    x = 756,360.23/808.78
  6. Step 6: Final answer
    x = 935.19

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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.