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Finding the Fourth Proportional to 1,496.22, 2,244.08 and 400.65

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Solution

The fourth proportional to 1,496.22, 2,244.08 and 400.65 is: 600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.22 : 2,244.08 = 400.65 : x
  2. Step 2: Convert to fraction form
    1,496.22/2,244.08 = 400.65/x
  3. Step 3: Cross multiply
    1,496.22x = 2,244.08 × 400.65
  4. Step 4: Simplify right side
    1,496.22x = 899,088.65
  5. Step 5: Solve for x
    x = 899,088.65/1,496.22
  6. Step 6: Final answer
    x = 600.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.