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Finding the Fourth Proportional to 1,495.89, 2,243.94 and 455.98

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Solution

The fourth proportional to 1,495.89, 2,243.94 and 455.98 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.89 : 2,243.94 = 455.98 : x
  2. Step 2: Convert to fraction form
    1,495.89/2,243.94 = 455.98/x
  3. Step 3: Cross multiply
    1,495.89x = 2,243.94 × 455.98
  4. Step 4: Simplify right side
    1,495.89x = 1,023,191.76
  5. Step 5: Solve for x
    x = 1,023,191.76/1,495.89
  6. Step 6: Final answer
    x = 684.00

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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.