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Finding the Fourth Proportional to 901.05, 1,353.12 and 490.98

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Solution

The fourth proportional to 901.05, 1,353.12 and 490.98 is: 737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.05 : 1,353.12 = 490.98 : x
  2. Step 2: Convert to fraction form
    901.05/1,353.12 = 490.98/x
  3. Step 3: Cross multiply
    901.05x = 1,353.12 × 490.98
  4. Step 4: Simplify right side
    901.05x = 664,358.09
  5. Step 5: Solve for x
    x = 664,358.09/901.05
  6. Step 6: Final answer
    x = 737.32

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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.