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Finding the Fourth Proportional to 1,168.49, 1,611.80 and 748.70

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Solution

The fourth proportional to 1,168.49, 1,611.80 and 748.70 is: 1,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.49 : 1,611.80 = 748.70 : x
  2. Step 2: Convert to fraction form
    1,168.49/1,611.80 = 748.70/x
  3. Step 3: Cross multiply
    1,168.49x = 1,611.80 × 748.70
  4. Step 4: Simplify right side
    1,168.49x = 1,206,742.86
  5. Step 5: Solve for x
    x = 1,206,742.86/1,168.49
  6. Step 6: Final answer
    x = 1,032.74

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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.