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Finding the Fourth Proportional to 1,214.64, 1,822.59 and 521.13

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Solution

The fourth proportional to 1,214.64, 1,822.59 and 521.13 is: 781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.64 : 1,822.59 = 521.13 : x
  2. Step 2: Convert to fraction form
    1,214.64/1,822.59 = 521.13/x
  3. Step 3: Cross multiply
    1,214.64x = 1,822.59 × 521.13
  4. Step 4: Simplify right side
    1,214.64x = 949,806.33
  5. Step 5: Solve for x
    x = 949,806.33/1,214.64
  6. Step 6: Final answer
    x = 781.97

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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.