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Finding the Fourth Proportional to 1,082.70, 1,493.46 and 689.58

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Solution

The fourth proportional to 1,082.70, 1,493.46 and 689.58 is: 951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.70 : 1,493.46 = 689.58 : x
  2. Step 2: Convert to fraction form
    1,082.70/1,493.46 = 689.58/x
  3. Step 3: Cross multiply
    1,082.70x = 1,493.46 × 689.58
  4. Step 4: Simplify right side
    1,082.70x = 1,029,860.15
  5. Step 5: Solve for x
    x = 1,029,860.15/1,082.70
  6. Step 6: Final answer
    x = 951.20

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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.