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Finding the Fourth Proportional to 1,323.84, 1,986.12 and 502.14

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Solution

The fourth proportional to 1,323.84, 1,986.12 and 502.14 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,986.12 = 502.14 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,986.12 = 502.14/x
  3. Step 3: Cross multiply
    1,323.84x = 1,986.12 × 502.14
  4. Step 4: Simplify right side
    1,323.84x = 997,310.30
  5. Step 5: Solve for x
    x = 997,310.30/1,323.84
  6. Step 6: Final answer
    x = 753.35

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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.