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Finding the Fourth Proportional to 1,722.48, 2,584.24 and 568.24

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Solution

The fourth proportional to 1,722.48, 2,584.24 and 568.24 is: 852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.48 : 2,584.24 = 568.24 : x
  2. Step 2: Convert to fraction form
    1,722.48/2,584.24 = 568.24/x
  3. Step 3: Cross multiply
    1,722.48x = 2,584.24 × 568.24
  4. Step 4: Simplify right side
    1,722.48x = 1,468,468.54
  5. Step 5: Solve for x
    x = 1,468,468.54/1,722.48
  6. Step 6: Final answer
    x = 852.53

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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.