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Finding the Fourth Proportional to 1,222.74, 1,687.33 and 691.63

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Solution

The fourth proportional to 1,222.74, 1,687.33 and 691.63 is: 954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.74 : 1,687.33 = 691.63 : x
  2. Step 2: Convert to fraction form
    1,222.74/1,687.33 = 691.63/x
  3. Step 3: Cross multiply
    1,222.74x = 1,687.33 × 691.63
  4. Step 4: Simplify right side
    1,222.74x = 1,167,008.05
  5. Step 5: Solve for x
    x = 1,167,008.05/1,222.74
  6. Step 6: Final answer
    x = 954.42

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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.