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Finding the Fourth Proportional to 1,282.73, 1,770.16 and 693.27

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Solution

The fourth proportional to 1,282.73, 1,770.16 and 693.27 is: 956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.73 : 1,770.16 = 693.27 : x
  2. Step 2: Convert to fraction form
    1,282.73/1,770.16 = 693.27/x
  3. Step 3: Cross multiply
    1,282.73x = 1,770.16 × 693.27
  4. Step 4: Simplify right side
    1,282.73x = 1,227,189.97
  5. Step 5: Solve for x
    x = 1,227,189.97/1,282.73
  6. Step 6: Final answer
    x = 956.70

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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.