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Finding the Fourth Proportional to 920.93, 1,380.74 and 433.50

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Solution

The fourth proportional to 920.93, 1,380.74 and 433.50 is: 649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.93 : 1,380.74 = 433.50 : x
  2. Step 2: Convert to fraction form
    920.93/1,380.74 = 433.50/x
  3. Step 3: Cross multiply
    920.93x = 1,380.74 × 433.50
  4. Step 4: Simplify right side
    920.93x = 598,548.62
  5. Step 5: Solve for x
    x = 598,548.62/920.93
  6. Step 6: Final answer
    x = 649.94

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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.