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Finding the Fourth Proportional to 1,214.53, 1,821.67 and 521.07

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Solution

The fourth proportional to 1,214.53, 1,821.67 and 521.07 is: 781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.53 : 1,821.67 = 521.07 : x
  2. Step 2: Convert to fraction form
    1,214.53/1,821.67 = 521.07/x
  3. Step 3: Cross multiply
    1,214.53x = 1,821.67 × 521.07
  4. Step 4: Simplify right side
    1,214.53x = 949,217.59
  5. Step 5: Solve for x
    x = 949,217.59/1,214.53
  6. Step 6: Final answer
    x = 781.55

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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.