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Finding the Fourth Proportional to 1,115.30, 1,673.67 and 499.25

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Solution

The fourth proportional to 1,115.30, 1,673.67 and 499.25 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.30 : 1,673.67 = 499.25 : x
  2. Step 2: Convert to fraction form
    1,115.30/1,673.67 = 499.25/x
  3. Step 3: Cross multiply
    1,115.30x = 1,673.67 × 499.25
  4. Step 4: Simplify right side
    1,115.30x = 835,579.75
  5. Step 5: Solve for x
    x = 835,579.75/1,115.30
  6. Step 6: Final answer
    x = 749.20

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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.