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Finding the Fourth Proportional to 1,722.64, 2,584.20 and 627.32

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Solution

The fourth proportional to 1,722.64, 2,584.20 and 627.32 is: 941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.64 : 2,584.20 = 627.32 : x
  2. Step 2: Convert to fraction form
    1,722.64/2,584.20 = 627.32/x
  3. Step 3: Cross multiply
    1,722.64x = 2,584.20 × 627.32
  4. Step 4: Simplify right side
    1,722.64x = 1,621,120.34
  5. Step 5: Solve for x
    x = 1,621,120.34/1,722.64
  6. Step 6: Final answer
    x = 941.07

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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.