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Finding the Fourth Proportional to 1,476.27, 2,214.69 and 502.44

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Solution

The fourth proportional to 1,476.27, 2,214.69 and 502.44 is: 753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.27 : 2,214.69 = 502.44 : x
  2. Step 2: Convert to fraction form
    1,476.27/2,214.69 = 502.44/x
  3. Step 3: Cross multiply
    1,476.27x = 2,214.69 × 502.44
  4. Step 4: Simplify right side
    1,476.27x = 1,112,748.84
  5. Step 5: Solve for x
    x = 1,112,748.84/1,476.27
  6. Step 6: Final answer
    x = 753.76

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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.