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Finding the Fourth Proportional to 1,597.60, 2,396.22 and 623.44

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Solution

The fourth proportional to 1,597.60, 2,396.22 and 623.44 is: 935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.60 : 2,396.22 = 623.44 : x
  2. Step 2: Convert to fraction form
    1,597.60/2,396.22 = 623.44/x
  3. Step 3: Cross multiply
    1,597.60x = 2,396.22 × 623.44
  4. Step 4: Simplify right side
    1,597.60x = 1,493,899.40
  5. Step 5: Solve for x
    x = 1,493,899.40/1,597.60
  6. Step 6: Final answer
    x = 935.09

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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.