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Finding the Fourth Proportional to 1,216.65, 1,824.57 and 486.30

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Solution

The fourth proportional to 1,216.65, 1,824.57 and 486.30 is: 729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.65 : 1,824.57 = 486.30 : x
  2. Step 2: Convert to fraction form
    1,216.65/1,824.57 = 486.30/x
  3. Step 3: Cross multiply
    1,216.65x = 1,824.57 × 486.30
  4. Step 4: Simplify right side
    1,216.65x = 887,288.39
  5. Step 5: Solve for x
    x = 887,288.39/1,216.65
  6. Step 6: Final answer
    x = 729.29

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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.