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Finding the Fourth Proportional to 1,181.87, 1,630.84 and 684.41

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Solution

The fourth proportional to 1,181.87, 1,630.84 and 684.41 is: 944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.87 : 1,630.84 = 684.41 : x
  2. Step 2: Convert to fraction form
    1,181.87/1,630.84 = 684.41/x
  3. Step 3: Cross multiply
    1,181.87x = 1,630.84 × 684.41
  4. Step 4: Simplify right side
    1,181.87x = 1,116,161.13
  5. Step 5: Solve for x
    x = 1,116,161.13/1,181.87
  6. Step 6: Final answer
    x = 944.41

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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.