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Finding the Fourth Proportional to 899.67, 1,241.63 and 506.76

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Solution

The fourth proportional to 899.67, 1,241.63 and 506.76 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.67 : 1,241.63 = 506.76 : x
  2. Step 2: Convert to fraction form
    899.67/1,241.63 = 506.76/x
  3. Step 3: Cross multiply
    899.67x = 1,241.63 × 506.76
  4. Step 4: Simplify right side
    899.67x = 629,205.89
  5. Step 5: Solve for x
    x = 629,205.89/899.67
  6. Step 6: Final answer
    x = 699.37

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.