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Finding the Fourth Proportional to 1,230.13, 1,845.24 and 499.69

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Solution

The fourth proportional to 1,230.13, 1,845.24 and 499.69 is: 749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.13 : 1,845.24 = 499.69 : x
  2. Step 2: Convert to fraction form
    1,230.13/1,845.24 = 499.69/x
  3. Step 3: Cross multiply
    1,230.13x = 1,845.24 × 499.69
  4. Step 4: Simplify right side
    1,230.13x = 922,047.98
  5. Step 5: Solve for x
    x = 922,047.98/1,230.13
  6. Step 6: Final answer
    x = 749.55

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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.