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Finding the Fourth Proportional to 1,213.53, 1,820.04 and 433.58

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Solution

The fourth proportional to 1,213.53, 1,820.04 and 433.58 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.53 : 1,820.04 = 433.58 : x
  2. Step 2: Convert to fraction form
    1,213.53/1,820.04 = 433.58/x
  3. Step 3: Cross multiply
    1,213.53x = 1,820.04 × 433.58
  4. Step 4: Simplify right side
    1,213.53x = 789,126.12
  5. Step 5: Solve for x
    x = 789,126.12/1,213.53
  6. Step 6: Final answer
    x = 650.27

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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.