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Finding the Fourth Proportional to 1,284.52, 1,926.98 and 418.63

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Solution

The fourth proportional to 1,284.52, 1,926.98 and 418.63 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.52 : 1,926.98 = 418.63 : x
  2. Step 2: Convert to fraction form
    1,284.52/1,926.98 = 418.63/x
  3. Step 3: Cross multiply
    1,284.52x = 1,926.98 × 418.63
  4. Step 4: Simplify right side
    1,284.52x = 806,691.64
  5. Step 5: Solve for x
    x = 806,691.64/1,284.52
  6. Step 6: Final answer
    x = 628.01

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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.