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Finding the Fourth Proportional to 1,722.99, 2,584.80 and 628.14

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Solution

The fourth proportional to 1,722.99, 2,584.80 and 628.14 is: 942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.99 : 2,584.80 = 628.14 : x
  2. Step 2: Convert to fraction form
    1,722.99/2,584.80 = 628.14/x
  3. Step 3: Cross multiply
    1,722.99x = 2,584.80 × 628.14
  4. Step 4: Simplify right side
    1,722.99x = 1,623,616.27
  5. Step 5: Solve for x
    x = 1,623,616.27/1,722.99
  6. Step 6: Final answer
    x = 942.32

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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.