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Finding the Fourth Proportional to 1,326.43, 1,988.18 and 546.02

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Solution

The fourth proportional to 1,326.43, 1,988.18 and 546.02 is: 818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.43 : 1,988.18 = 546.02 : x
  2. Step 2: Convert to fraction form
    1,326.43/1,988.18 = 546.02/x
  3. Step 3: Cross multiply
    1,326.43x = 1,988.18 × 546.02
  4. Step 4: Simplify right side
    1,326.43x = 1,085,594.06
  5. Step 5: Solve for x
    x = 1,085,594.06/1,326.43
  6. Step 6: Final answer
    x = 818.44

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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.