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Finding the Fourth Proportional to 1,496.25, 2,244.70 and 456.33

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Solution

The fourth proportional to 1,496.25, 2,244.70 and 456.33 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.25 : 2,244.70 = 456.33 : x
  2. Step 2: Convert to fraction form
    1,496.25/2,244.70 = 456.33/x
  3. Step 3: Cross multiply
    1,496.25x = 2,244.70 × 456.33
  4. Step 4: Simplify right side
    1,496.25x = 1,024,332.94
  5. Step 5: Solve for x
    x = 1,024,332.94/1,496.25
  6. Step 6: Final answer
    x = 684.60

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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.