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Finding the Fourth Proportional to 1,181.73, 1,630.93 and 677.77

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Solution

The fourth proportional to 1,181.73, 1,630.93 and 677.77 is: 935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.73 : 1,630.93 = 677.77 : x
  2. Step 2: Convert to fraction form
    1,181.73/1,630.93 = 677.77/x
  3. Step 3: Cross multiply
    1,181.73x = 1,630.93 × 677.77
  4. Step 4: Simplify right side
    1,181.73x = 1,105,395.43
  5. Step 5: Solve for x
    x = 1,105,395.43/1,181.73
  6. Step 6: Final answer
    x = 935.40

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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.