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Finding the Fourth Proportional to 1,274.99, 1,912.67 and 658.76

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Solution

The fourth proportional to 1,274.99, 1,912.67 and 658.76 is: 988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.99 : 1,912.67 = 658.76 : x
  2. Step 2: Convert to fraction form
    1,274.99/1,912.67 = 658.76/x
  3. Step 3: Cross multiply
    1,274.99x = 1,912.67 × 658.76
  4. Step 4: Simplify right side
    1,274.99x = 1,259,990.49
  5. Step 5: Solve for x
    x = 1,259,990.49/1,274.99
  6. Step 6: Final answer
    x = 988.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.