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Finding the Fourth Proportional to 1,495.94, 2,244.17 and 455.90

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Solution

The fourth proportional to 1,495.94, 2,244.17 and 455.90 is: 683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.94 : 2,244.17 = 455.90 : x
  2. Step 2: Convert to fraction form
    1,495.94/2,244.17 = 455.90/x
  3. Step 3: Cross multiply
    1,495.94x = 2,244.17 × 455.90
  4. Step 4: Simplify right side
    1,495.94x = 1,023,107.02
  5. Step 5: Solve for x
    x = 1,023,107.02/1,495.94
  6. Step 6: Final answer
    x = 683.92

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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.