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Finding the Fourth Proportional to 3,005.03, 4,506.96 and 813.20

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Solution

The fourth proportional to 3,005.03, 4,506.96 and 813.20 is: 1,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.03 : 4,506.96 = 813.20 : x
  2. Step 2: Convert to fraction form
    3,005.03/4,506.96 = 813.20/x
  3. Step 3: Cross multiply
    3,005.03x = 4,506.96 × 813.20
  4. Step 4: Simplify right side
    3,005.03x = 3,665,037.34
  5. Step 5: Solve for x
    x = 3,665,037.34/3,005.03
  6. Step 6: Final answer
    x = 1,219.64

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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.