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Finding the Fourth Proportional to 920.09, 1,380.65 and 433.14

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Solution

The fourth proportional to 920.09, 1,380.65 and 433.14 is: 649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.09 : 1,380.65 = 433.14 : x
  2. Step 2: Convert to fraction form
    920.09/1,380.65 = 433.14/x
  3. Step 3: Cross multiply
    920.09x = 1,380.65 × 433.14
  4. Step 4: Simplify right side
    920.09x = 598,012.58
  5. Step 5: Solve for x
    x = 598,012.58/920.09
  6. Step 6: Final answer
    x = 649.95

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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.