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Finding the Fourth Proportional to 1,230.97, 1,847.49 and 501.07

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Solution

The fourth proportional to 1,230.97, 1,847.49 and 501.07 is: 752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.97 : 1,847.49 = 501.07 : x
  2. Step 2: Convert to fraction form
    1,230.97/1,847.49 = 501.07/x
  3. Step 3: Cross multiply
    1,230.97x = 1,847.49 × 501.07
  4. Step 4: Simplify right side
    1,230.97x = 925,721.81
  5. Step 5: Solve for x
    x = 925,721.81/1,230.97
  6. Step 6: Final answer
    x = 752.03

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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.