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Finding the Fourth Proportional to 1,496.23, 2,244.06 and 456.04

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Solution

The fourth proportional to 1,496.23, 2,244.06 and 456.04 is: 683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.23 : 2,244.06 = 456.04 : x
  2. Step 2: Convert to fraction form
    1,496.23/2,244.06 = 456.04/x
  3. Step 3: Cross multiply
    1,496.23x = 2,244.06 × 456.04
  4. Step 4: Simplify right side
    1,496.23x = 1,023,381.12
  5. Step 5: Solve for x
    x = 1,023,381.12/1,496.23
  6. Step 6: Final answer
    x = 683.97

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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.