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Finding the Fourth Proportional to 1,216.06, 1,824.62 and 944.51

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Solution

The fourth proportional to 1,216.06, 1,824.62 and 944.51 is: 1,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.06 : 1,824.62 = 944.51 : x
  2. Step 2: Convert to fraction form
    1,216.06/1,824.62 = 944.51/x
  3. Step 3: Cross multiply
    1,216.06x = 1,824.62 × 944.51
  4. Step 4: Simplify right side
    1,216.06x = 1,723,357.99
  5. Step 5: Solve for x
    x = 1,723,357.99/1,216.06
  6. Step 6: Final answer
    x = 1,417.17

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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.