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Finding the Fourth Proportional to 1,722.28, 2,583.42 and 626.65

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Solution

The fourth proportional to 1,722.28, 2,583.42 and 626.65 is: 939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.28 : 2,583.42 = 626.65 : x
  2. Step 2: Convert to fraction form
    1,722.28/2,583.42 = 626.65/x
  3. Step 3: Cross multiply
    1,722.28x = 2,583.42 × 626.65
  4. Step 4: Simplify right side
    1,722.28x = 1,618,900.14
  5. Step 5: Solve for x
    x = 1,618,900.14/1,722.28
  6. Step 6: Final answer
    x = 939.98

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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.