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Finding the Fourth Proportional to 1,323.68, 1,988.26 and 1,014.48

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Solution

The fourth proportional to 1,323.68, 1,988.26 and 1,014.48 is: 1,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.68 : 1,988.26 = 1,014.48 : x
  2. Step 2: Convert to fraction form
    1,323.68/1,988.26 = 1,014.48/x
  3. Step 3: Cross multiply
    1,323.68x = 1,988.26 × 1,014.48
  4. Step 4: Simplify right side
    1,323.68x = 2,017,050.00
  5. Step 5: Solve for x
    x = 2,017,050.00/1,323.68
  6. Step 6: Final answer
    x = 1,523.82

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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.