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Finding the Fourth Proportional to 3,005.00, 4,506.97 and 813.21

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Solution

The fourth proportional to 3,005.00, 4,506.97 and 813.21 is: 1,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.00 : 4,506.97 = 813.21 : x
  2. Step 2: Convert to fraction form
    3,005.00/4,506.97 = 813.21/x
  3. Step 3: Cross multiply
    3,005.00x = 4,506.97 × 813.21
  4. Step 4: Simplify right side
    3,005.00x = 3,665,113.07
  5. Step 5: Solve for x
    x = 3,665,113.07/3,005.00
  6. Step 6: Final answer
    x = 1,219.67

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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.