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Finding the Fourth Proportional to 654.83, 982.64 and 411.49

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Solution

The fourth proportional to 654.83, 982.64 and 411.49 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.83 : 982.64 = 411.49 : x
  2. Step 2: Convert to fraction form
    654.83/982.64 = 411.49/x
  3. Step 3: Cross multiply
    654.83x = 982.64 × 411.49
  4. Step 4: Simplify right side
    654.83x = 404,345.11
  5. Step 5: Solve for x
    x = 404,345.11/654.83
  6. Step 6: Final answer
    x = 617.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.