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Finding the Fourth Proportional to 901.40, 1,353.42 and 491.48

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Solution

The fourth proportional to 901.40, 1,353.42 and 491.48 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.40 : 1,353.42 = 491.48 : x
  2. Step 2: Convert to fraction form
    901.40/1,353.42 = 491.48/x
  3. Step 3: Cross multiply
    901.40x = 1,353.42 × 491.48
  4. Step 4: Simplify right side
    901.40x = 665,178.86
  5. Step 5: Solve for x
    x = 665,178.86/901.40
  6. Step 6: Final answer
    x = 737.94

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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.