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Finding the Fourth Proportional to 993.99, 1,491.16 and 446.18

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Solution

The fourth proportional to 993.99, 1,491.16 and 446.18 is: 669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.99 : 1,491.16 = 446.18 : x
  2. Step 2: Convert to fraction form
    993.99/1,491.16 = 446.18/x
  3. Step 3: Cross multiply
    993.99x = 1,491.16 × 446.18
  4. Step 4: Simplify right side
    993.99x = 665,318.03
  5. Step 5: Solve for x
    x = 665,318.03/993.99
  6. Step 6: Final answer
    x = 669.34

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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.