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Finding the Fourth Proportional to 1,168.68, 1,612.80 and 696.90

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Solution

The fourth proportional to 1,168.68, 1,612.80 and 696.90 is: 961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.68 : 1,612.80 = 696.90 : x
  2. Step 2: Convert to fraction form
    1,168.68/1,612.80 = 696.90/x
  3. Step 3: Cross multiply
    1,168.68x = 1,612.80 × 696.90
  4. Step 4: Simplify right side
    1,168.68x = 1,123,960.32
  5. Step 5: Solve for x
    x = 1,123,960.32/1,168.68
  6. Step 6: Final answer
    x = 961.73

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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.