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Finding the Fourth Proportional to 1,578.22, 2,367.23 and 653.43

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Solution

The fourth proportional to 1,578.22, 2,367.23 and 653.43 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.22 : 2,367.23 = 653.43 : x
  2. Step 2: Convert to fraction form
    1,578.22/2,367.23 = 653.43/x
  3. Step 3: Cross multiply
    1,578.22x = 2,367.23 × 653.43
  4. Step 4: Simplify right side
    1,578.22x = 1,546,824.71
  5. Step 5: Solve for x
    x = 1,546,824.71/1,578.22
  6. Step 6: Final answer
    x = 980.11

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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.