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Finding the Fourth Proportional to 920.81, 1,380.31 and 432.99

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Solution

The fourth proportional to 920.81, 1,380.31 and 432.99 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 1,380.31 = 432.99 : x
  2. Step 2: Convert to fraction form
    920.81/1,380.31 = 432.99/x
  3. Step 3: Cross multiply
    920.81x = 1,380.31 × 432.99
  4. Step 4: Simplify right side
    920.81x = 597,659.34
  5. Step 5: Solve for x
    x = 597,659.34/920.81
  6. Step 6: Final answer
    x = 649.06

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Double scale
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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.