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Finding the Fourth Proportional to 1,193.20, 1,788.24 and 644.20

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Solution

The fourth proportional to 1,193.20, 1,788.24 and 644.20 is: 965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.20 : 1,788.24 = 644.20 : x
  2. Step 2: Convert to fraction form
    1,193.20/1,788.24 = 644.20/x
  3. Step 3: Cross multiply
    1,193.20x = 1,788.24 × 644.20
  4. Step 4: Simplify right side
    1,193.20x = 1,151,984.21
  5. Step 5: Solve for x
    x = 1,151,984.21/1,193.20
  6. Step 6: Final answer
    x = 965.46

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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.